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Finding the Third Proportional to 63,175 and 137,486

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Solution

The third proportional to 63,175 and 137,486 is: 299,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,175 : 137,486 = 137,486 : x
  2. Step 2: Convert to fraction form
    63,175/137,486 = 137,486/x
  3. Step 3: Cross multiply
    63,175x = 137,486 × 137,486
  4. Step 4: Simplify right side
    63,175x = 18,902,400,196
  5. Step 5: Solve for x
    x = 18,902,400,196/63,175
  6. Step 6: Final answer
    x = 299,206.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.