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Finding the Third Proportional to 63,520 and 137,920

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Solution

The third proportional to 63,520 and 137,920 is: 299,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,520 : 137,920 = 137,920 : x
  2. Step 2: Convert to fraction form
    63,520/137,920 = 137,920/x
  3. Step 3: Cross multiply
    63,520x = 137,920 × 137,920
  4. Step 4: Simplify right side
    63,520x = 19,021,926,400
  5. Step 5: Solve for x
    x = 19,021,926,400/63,520
  6. Step 6: Final answer
    x = 299,463.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.