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Finding the Third Proportional to 427,412 and 676,785

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Solution

The third proportional to 427,412 and 676,785 is: 1,071,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,412 : 676,785 = 676,785 : x
  2. Step 2: Convert to fraction form
    427,412/676,785 = 676,785/x
  3. Step 3: Cross multiply
    427,412x = 676,785 × 676,785
  4. Step 4: Simplify right side
    427,412x = 458,037,936,225
  5. Step 5: Solve for x
    x = 458,037,936,225/427,412
  6. Step 6: Final answer
    x = 1,071,654.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.