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Finding the Third Proportional to 539,680 and 779,676

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Solution

The third proportional to 539,680 and 779,676 is: 1,126,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,680 : 779,676 = 779,676 : x
  2. Step 2: Convert to fraction form
    539,680/779,676 = 779,676/x
  3. Step 3: Cross multiply
    539,680x = 779,676 × 779,676
  4. Step 4: Simplify right side
    539,680x = 607,894,664,976
  5. Step 5: Solve for x
    x = 607,894,664,976/539,680
  6. Step 6: Final answer
    x = 1,126,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.