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Finding the Third Proportional to 89,738.63 and 138,935.06

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Solution

The third proportional to 89,738.63 and 138,935.06 is: 215,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,738.63 : 138,935.06 = 138,935.06 : x
  2. Step 2: Convert to fraction form
    89,738.63/138,935.06 = 138,935.06/x
  3. Step 3: Cross multiply
    89,738.63x = 138,935.06 × 138,935.06
  4. Step 4: Simplify right side
    89,738.63x = 19,302,951,591.88
  5. Step 5: Solve for x
    x = 19,302,951,591.88/89,738.63
  6. Step 6: Final answer
    x = 215,101.93

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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.