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Finding the Third Proportional to 80,121 and 185,475

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Solution

The third proportional to 80,121 and 185,475 is: 429,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,121 : 185,475 = 185,475 : x
  2. Step 2: Convert to fraction form
    80,121/185,475 = 185,475/x
  3. Step 3: Cross multiply
    80,121x = 185,475 × 185,475
  4. Step 4: Simplify right side
    80,121x = 34,400,975,625
  5. Step 5: Solve for x
    x = 34,400,975,625/80,121
  6. Step 6: Final answer
    x = 429,362.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.