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Finding the Third Proportional to 89,151 and 138,487

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Solution

The third proportional to 89,151 and 138,487 is: 215,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,151 : 138,487 = 138,487 : x
  2. Step 2: Convert to fraction form
    89,151/138,487 = 138,487/x
  3. Step 3: Cross multiply
    89,151x = 138,487 × 138,487
  4. Step 4: Simplify right side
    89,151x = 19,178,649,169
  5. Step 5: Solve for x
    x = 19,178,649,169/89,151
  6. Step 6: Final answer
    x = 215,125.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.