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Finding the Third Proportional to 61,830 and 133,542

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Solution

The third proportional to 61,830 and 133,542 is: 288,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 133,542 = 133,542 : x
  2. Step 2: Convert to fraction form
    61,830/133,542 = 133,542/x
  3. Step 3: Cross multiply
    61,830x = 133,542 × 133,542
  4. Step 4: Simplify right side
    61,830x = 17,833,465,764
  5. Step 5: Solve for x
    x = 17,833,465,764/61,830
  6. Step 6: Final answer
    x = 288,427.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.