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Finding the Third Proportional to 80,528 and 171,427

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Solution

The third proportional to 80,528 and 171,427 is: 364,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,528 : 171,427 = 171,427 : x
  2. Step 2: Convert to fraction form
    80,528/171,427 = 171,427/x
  3. Step 3: Cross multiply
    80,528x = 171,427 × 171,427
  4. Step 4: Simplify right side
    80,528x = 29,387,216,329
  5. Step 5: Solve for x
    x = 29,387,216,329/80,528
  6. Step 6: Final answer
    x = 364,931.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.