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Finding the Third Proportional to 63,587 and 138,145

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Solution

The third proportional to 63,587 and 138,145 is: 300,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,587 : 138,145 = 138,145 : x
  2. Step 2: Convert to fraction form
    63,587/138,145 = 138,145/x
  3. Step 3: Cross multiply
    63,587x = 138,145 × 138,145
  4. Step 4: Simplify right side
    63,587x = 19,084,041,025
  5. Step 5: Solve for x
    x = 19,084,041,025/63,587
  6. Step 6: Final answer
    x = 300,124.88

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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.