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Finding the Third Proportional to 210,146 and 456,013

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Solution

The third proportional to 210,146 and 456,013 is: 989,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,146 : 456,013 = 456,013 : x
  2. Step 2: Convert to fraction form
    210,146/456,013 = 456,013/x
  3. Step 3: Cross multiply
    210,146x = 456,013 × 456,013
  4. Step 4: Simplify right side
    210,146x = 207,947,856,169
  5. Step 5: Solve for x
    x = 207,947,856,169/210,146
  6. Step 6: Final answer
    x = 989,539.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.