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Finding the Third Proportional to 89,745 and 138,943

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Solution

The third proportional to 89,745 and 138,943 is: 215,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,745 : 138,943 = 138,943 : x
  2. Step 2: Convert to fraction form
    89,745/138,943 = 138,943/x
  3. Step 3: Cross multiply
    89,745x = 138,943 × 138,943
  4. Step 4: Simplify right side
    89,745x = 19,305,157,249
  5. Step 5: Solve for x
    x = 19,305,157,249/89,745
  6. Step 6: Final answer
    x = 215,111.23

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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.