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Finding the Third Proportional to 54,396 and 81,342

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Solution

The third proportional to 54,396 and 81,342 is: 121,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396 : 81,342 = 81,342 : x
  2. Step 2: Convert to fraction form
    54,396/81,342 = 81,342/x
  3. Step 3: Cross multiply
    54,396x = 81,342 × 81,342
  4. Step 4: Simplify right side
    54,396x = 6,616,520,964
  5. Step 5: Solve for x
    x = 6,616,520,964/54,396
  6. Step 6: Final answer
    x = 121,636.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.