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Finding the Third Proportional to 89,046 and 138,675

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Solution

The third proportional to 89,046 and 138,675 is: 215,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,046 : 138,675 = 138,675 : x
  2. Step 2: Convert to fraction form
    89,046/138,675 = 138,675/x
  3. Step 3: Cross multiply
    89,046x = 138,675 × 138,675
  4. Step 4: Simplify right side
    89,046x = 19,230,755,625
  5. Step 5: Solve for x
    x = 19,230,755,625/89,046
  6. Step 6: Final answer
    x = 215,964.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.