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Finding the Third Proportional to 80,521 and 176,971

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Solution

The third proportional to 80,521 and 176,971 is: 388,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,521 : 176,971 = 176,971 : x
  2. Step 2: Convert to fraction form
    80,521/176,971 = 176,971/x
  3. Step 3: Cross multiply
    80,521x = 176,971 × 176,971
  4. Step 4: Simplify right side
    80,521x = 31,318,734,841
  5. Step 5: Solve for x
    x = 31,318,734,841/80,521
  6. Step 6: Final answer
    x = 388,951.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.