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Finding the Third Proportional to 539,681 and 779,677

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Solution

The third proportional to 539,681 and 779,677 is: 1,126,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,681 : 779,677 = 779,677 : x
  2. Step 2: Convert to fraction form
    539,681/779,677 = 779,677/x
  3. Step 3: Cross multiply
    539,681x = 779,677 × 779,677
  4. Step 4: Simplify right side
    539,681x = 607,896,224,329
  5. Step 5: Solve for x
    x = 607,896,224,329/539,681
  6. Step 6: Final answer
    x = 1,126,399.16

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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.