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Finding the Third Proportional to 542,689 and 797,774

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Solution

The third proportional to 542,689 and 797,774 is: 1,172,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,689 : 797,774 = 797,774 : x
  2. Step 2: Convert to fraction form
    542,689/797,774 = 797,774/x
  3. Step 3: Cross multiply
    542,689x = 797,774 × 797,774
  4. Step 4: Simplify right side
    542,689x = 636,443,355,076
  5. Step 5: Solve for x
    x = 636,443,355,076/542,689
  6. Step 6: Final answer
    x = 1,172,758.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.