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Finding the Third Proportional to 427,520 and 676,930

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Solution

The third proportional to 427,520 and 676,930 is: 1,071,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,520 : 676,930 = 676,930 : x
  2. Step 2: Convert to fraction form
    427,520/676,930 = 676,930/x
  3. Step 3: Cross multiply
    427,520x = 676,930 × 676,930
  4. Step 4: Simplify right side
    427,520x = 458,234,224,900
  5. Step 5: Solve for x
    x = 458,234,224,900/427,520
  6. Step 6: Final answer
    x = 1,071,842.78

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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.