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Finding the Third Proportional to 539,688 and 779,688

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Solution

The third proportional to 539,688 and 779,688 is: 1,126,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,688 : 779,688 = 779,688 : x
  2. Step 2: Convert to fraction form
    539,688/779,688 = 779,688/x
  3. Step 3: Cross multiply
    539,688x = 779,688 × 779,688
  4. Step 4: Simplify right side
    539,688x = 607,913,377,344
  5. Step 5: Solve for x
    x = 607,913,377,344/539,688
  6. Step 6: Final answer
    x = 1,126,416.33

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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.