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Finding the Third Proportional to 89,712 and 138,933

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Solution

The third proportional to 89,712 and 138,933 is: 215,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,712 : 138,933 = 138,933 : x
  2. Step 2: Convert to fraction form
    89,712/138,933 = 138,933/x
  3. Step 3: Cross multiply
    89,712x = 138,933 × 138,933
  4. Step 4: Simplify right side
    89,712x = 19,302,378,489
  5. Step 5: Solve for x
    x = 19,302,378,489/89,712
  6. Step 6: Final answer
    x = 215,159.38

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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.