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Finding the Third Proportional to 115,200 and 252,542

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Solution

The third proportional to 115,200 and 252,542 is: 553,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 252,542 = 252,542 : x
  2. Step 2: Convert to fraction form
    115,200/252,542 = 252,542/x
  3. Step 3: Cross multiply
    115,200x = 252,542 × 252,542
  4. Step 4: Simplify right side
    115,200x = 63,777,461,764
  5. Step 5: Solve for x
    x = 63,777,461,764/115,200
  6. Step 6: Final answer
    x = 553,623.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.