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Finding the Third Proportional to 427,399 and 676,776

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Solution

The third proportional to 427,399 and 676,776 is: 1,071,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,399 : 676,776 = 676,776 : x
  2. Step 2: Convert to fraction form
    427,399/676,776 = 676,776/x
  3. Step 3: Cross multiply
    427,399x = 676,776 × 676,776
  4. Step 4: Simplify right side
    427,399x = 458,025,754,176
  5. Step 5: Solve for x
    x = 458,025,754,176/427,399
  6. Step 6: Final answer
    x = 1,071,658.46

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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.