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Finding the Third Proportional to 80,824 and 128,344

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Solution

The third proportional to 80,824 and 128,344 is: 203,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,824 : 128,344 = 128,344 : x
  2. Step 2: Convert to fraction form
    80,824/128,344 = 128,344/x
  3. Step 3: Cross multiply
    80,824x = 128,344 × 128,344
  4. Step 4: Simplify right side
    80,824x = 16,472,182,336
  5. Step 5: Solve for x
    x = 16,472,182,336/80,824
  6. Step 6: Final answer
    x = 203,803.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.