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Finding the Third Proportional to 54,564 and 86,520

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Solution

The third proportional to 54,564 and 86,520 is: 137,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,564 : 86,520 = 86,520 : x
  2. Step 2: Convert to fraction form
    54,564/86,520 = 86,520/x
  3. Step 3: Cross multiply
    54,564x = 86,520 × 86,520
  4. Step 4: Simplify right side
    54,564x = 7,485,710,400
  5. Step 5: Solve for x
    x = 7,485,710,400/54,564
  6. Step 6: Final answer
    x = 137,191.38

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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.