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Finding the Third Proportional to 80,532 and 121,688

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Solution

The third proportional to 80,532 and 121,688 is: 183,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,532 : 121,688 = 121,688 : x
  2. Step 2: Convert to fraction form
    80,532/121,688 = 121,688/x
  3. Step 3: Cross multiply
    80,532x = 121,688 × 121,688
  4. Step 4: Simplify right side
    80,532x = 14,807,969,344
  5. Step 5: Solve for x
    x = 14,807,969,344/80,532
  6. Step 6: Final answer
    x = 183,876.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.