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Finding the Third Proportional to 80,580 and 133,080

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Solution

The third proportional to 80,580 and 133,080 is: 219,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 133,080 = 133,080 : x
  2. Step 2: Convert to fraction form
    80,580/133,080 = 133,080/x
  3. Step 3: Cross multiply
    80,580x = 133,080 × 133,080
  4. Step 4: Simplify right side
    80,580x = 17,710,286,400
  5. Step 5: Solve for x
    x = 17,710,286,400/80,580
  6. Step 6: Final answer
    x = 219,785.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.