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Finding the Third Proportional to 54,516 and 86,472

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Solution

The third proportional to 54,516 and 86,472 is: 137,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,516 : 86,472 = 86,472 : x
  2. Step 2: Convert to fraction form
    54,516/86,472 = 86,472/x
  3. Step 3: Cross multiply
    54,516x = 86,472 × 86,472
  4. Step 4: Simplify right side
    54,516x = 7,477,406,784
  5. Step 5: Solve for x
    x = 7,477,406,784/54,516
  6. Step 6: Final answer
    x = 137,159.86

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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.