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Finding the Third Proportional to 80,426 and 170,572

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Solution

The third proportional to 80,426 and 170,572 is: 361,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,426 : 170,572 = 170,572 : x
  2. Step 2: Convert to fraction form
    80,426/170,572 = 170,572/x
  3. Step 3: Cross multiply
    80,426x = 170,572 × 170,572
  4. Step 4: Simplify right side
    80,426x = 29,094,807,184
  5. Step 5: Solve for x
    x = 29,094,807,184/80,426
  6. Step 6: Final answer
    x = 361,758.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.