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Finding the Third Proportional to 63,448 and 135,680

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Solution

The third proportional to 63,448 and 135,680 is: 290,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,448 : 135,680 = 135,680 : x
  2. Step 2: Convert to fraction form
    63,448/135,680 = 135,680/x
  3. Step 3: Cross multiply
    63,448x = 135,680 × 135,680
  4. Step 4: Simplify right side
    63,448x = 18,409,062,400
  5. Step 5: Solve for x
    x = 18,409,062,400/63,448
  6. Step 6: Final answer
    x = 290,144.09

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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.