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Finding the Third Proportional to 63,480 and 129,872

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Solution

The third proportional to 63,480 and 129,872 is: 265,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,480 : 129,872 = 129,872 : x
  2. Step 2: Convert to fraction form
    63,480/129,872 = 129,872/x
  3. Step 3: Cross multiply
    63,480x = 129,872 × 129,872
  4. Step 4: Simplify right side
    63,480x = 16,866,736,384
  5. Step 5: Solve for x
    x = 16,866,736,384/63,480
  6. Step 6: Final answer
    x = 265,701.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.