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Finding the Third Proportional to 90,724.50 and 141,054.75

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Solution

The third proportional to 90,724.50 and 141,054.75 is: 219,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724.50 : 141,054.75 = 141,054.75 : x
  2. Step 2: Convert to fraction form
    90,724.50/141,054.75 = 141,054.75/x
  3. Step 3: Cross multiply
    90,724.50x = 141,054.75 × 141,054.75
  4. Step 4: Simplify right side
    90,724.50x = 19,896,442,497.56
  5. Step 5: Solve for x
    x = 19,896,442,497.56/90,724.50
  6. Step 6: Final answer
    x = 219,306.17

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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.