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Finding the Third Proportional to 81,600 and 114,720

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Solution

The third proportional to 81,600 and 114,720 is: 161,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600 : 114,720 = 114,720 : x
  2. Step 2: Convert to fraction form
    81,600/114,720 = 114,720/x
  3. Step 3: Cross multiply
    81,600x = 114,720 × 114,720
  4. Step 4: Simplify right side
    81,600x = 13,160,678,400
  5. Step 5: Solve for x
    x = 13,160,678,400/81,600
  6. Step 6: Final answer
    x = 161,282.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.