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Finding the Third Proportional to 309,918 and 656,469

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Solution

The third proportional to 309,918 and 656,469 is: 1,390,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,918 : 656,469 = 656,469 : x
  2. Step 2: Convert to fraction form
    309,918/656,469 = 656,469/x
  3. Step 3: Cross multiply
    309,918x = 656,469 × 656,469
  4. Step 4: Simplify right side
    309,918x = 430,951,547,961
  5. Step 5: Solve for x
    x = 430,951,547,961/309,918
  6. Step 6: Final answer
    x = 1,390,534.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.