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Finding the Third Proportional to 355,687 and 542,561

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Solution

The third proportional to 355,687 and 542,561 is: 827,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,687 : 542,561 = 542,561 : x
  2. Step 2: Convert to fraction form
    355,687/542,561 = 542,561/x
  3. Step 3: Cross multiply
    355,687x = 542,561 × 542,561
  4. Step 4: Simplify right side
    355,687x = 294,372,438,721
  5. Step 5: Solve for x
    x = 294,372,438,721/355,687
  6. Step 6: Final answer
    x = 827,616.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.