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Finding the Third Proportional to 59,983.50 and 138,864.75

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Solution

The third proportional to 59,983.50 and 138,864.75 is: 321,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,983.50 : 138,864.75 = 138,864.75 : x
  2. Step 2: Convert to fraction form
    59,983.50/138,864.75 = 138,864.75/x
  3. Step 3: Cross multiply
    59,983.50x = 138,864.75 × 138,864.75
  4. Step 4: Simplify right side
    59,983.50x = 19,283,418,792.56
  5. Step 5: Solve for x
    x = 19,283,418,792.56/59,983.50
  6. Step 6: Final answer
    x = 321,478.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.