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Finding the Third Proportional to 53,081 and 81,464

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Solution

The third proportional to 53,081 and 81,464 is: 125,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081 : 81,464 = 81,464 : x
  2. Step 2: Convert to fraction form
    53,081/81,464 = 81,464/x
  3. Step 3: Cross multiply
    53,081x = 81,464 × 81,464
  4. Step 4: Simplify right side
    53,081x = 6,636,383,296
  5. Step 5: Solve for x
    x = 6,636,383,296/53,081
  6. Step 6: Final answer
    x = 125,023.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.