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Finding the Third Proportional to 63,418 and 135,830

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Solution

The third proportional to 63,418 and 135,830 is: 290,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,418 : 135,830 = 135,830 : x
  2. Step 2: Convert to fraction form
    63,418/135,830 = 135,830/x
  3. Step 3: Cross multiply
    63,418x = 135,830 × 135,830
  4. Step 4: Simplify right side
    63,418x = 18,449,788,900
  5. Step 5: Solve for x
    x = 18,449,788,900/63,418
  6. Step 6: Final answer
    x = 290,923.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.