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Finding the Third Proportional to 390,257,028 and 844,817,505.75

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Solution

The third proportional to 390,257,028 and 844,817,505.75 is: 1,828,837,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,257,028 : 844,817,505.75 = 844,817,505.75 : x
  2. Step 2: Convert to fraction form
    390,257,028/844,817,505.75 = 844,817,505.75/x
  3. Step 3: Cross multiply
    390,257,028x = 844,817,505.75 × 844,817,505.75
  4. Step 4: Simplify right side
    390,257,028x = 713,716,618,021,651,328
  5. Step 5: Solve for x
    x = 713,716,618,021,651,328/390,257,028
  6. Step 6: Final answer
    x = 1,828,837,322.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.