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Finding the Third Proportional to 89,727.75 and 138,084.75

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Solution

The third proportional to 89,727.75 and 138,084.75 is: 212,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,727.75 : 138,084.75 = 138,084.75 : x
  2. Step 2: Convert to fraction form
    89,727.75/138,084.75 = 138,084.75/x
  3. Step 3: Cross multiply
    89,727.75x = 138,084.75 × 138,084.75
  4. Step 4: Simplify right side
    89,727.75x = 19,067,398,182.56
  5. Step 5: Solve for x
    x = 19,067,398,182.56/89,727.75
  6. Step 6: Final answer
    x = 212,502.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.