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Finding the Third Proportional to 80,726 and 133,409

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Solution

The third proportional to 80,726 and 133,409 is: 220,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,726 : 133,409 = 133,409 : x
  2. Step 2: Convert to fraction form
    80,726/133,409 = 133,409/x
  3. Step 3: Cross multiply
    80,726x = 133,409 × 133,409
  4. Step 4: Simplify right side
    80,726x = 17,797,961,281
  5. Step 5: Solve for x
    x = 17,797,961,281/80,726
  6. Step 6: Final answer
    x = 220,473.72

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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.