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Finding the Third Proportional to 54,324 and 86,436

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Solution

The third proportional to 54,324 and 86,436 is: 137,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 86,436 = 86,436 : x
  2. Step 2: Convert to fraction form
    54,324/86,436 = 86,436/x
  3. Step 3: Cross multiply
    54,324x = 86,436 × 86,436
  4. Step 4: Simplify right side
    54,324x = 7,471,182,096
  5. Step 5: Solve for x
    x = 7,471,182,096/54,324
  6. Step 6: Final answer
    x = 137,530.04

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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.