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Finding the Third Proportional to 54,312.19 and 86,422.78

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Solution

The third proportional to 54,312.19 and 86,422.78 is: 137,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312.19 : 86,422.78 = 86,422.78 : x
  2. Step 2: Convert to fraction form
    54,312.19/86,422.78 = 86,422.78/x
  3. Step 3: Cross multiply
    54,312.19x = 86,422.78 × 86,422.78
  4. Step 4: Simplify right side
    54,312.19x = 7,468,897,118.99
  5. Step 5: Solve for x
    x = 7,468,897,118.99/54,312.19
  6. Step 6: Final answer
    x = 137,517.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.