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Finding the Third Proportional to 462,595,310,412 and 1,014,553,222,140

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Solution

The third proportional to 462,595,310,412 and 1,014,553,222,140 is: 2,225,094,412,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,595,310,412 : 1,014,553,222,140 = 1,014,553,222,140 : x
  2. Step 2: Convert to fraction form
    462,595,310,412/1,014,553,222,140 = 1,014,553,222,140/x
  3. Step 3: Cross multiply
    462,595,310,412x = 1,014,553,222,140 × 1,014,553,222,140
  4. Step 4: Simplify right side
    462,595,310,412x = 1,029,318,240,554,656,213,237,760
  5. Step 5: Solve for x
    x = 1,029,318,240,554,656,213,237,760/462,595,310,412
  6. Step 6: Final answer
    x = 2,225,094,412,733.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.