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Finding the Third Proportional to 15,840 and 32,571

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Solution

The third proportional to 15,840 and 32,571 is: 66,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 32,571 = 32,571 : x
  2. Step 2: Convert to fraction form
    15,840/32,571 = 32,571/x
  3. Step 3: Cross multiply
    15,840x = 32,571 × 32,571
  4. Step 4: Simplify right side
    15,840x = 1,060,870,041
  5. Step 5: Solve for x
    x = 1,060,870,041/15,840
  6. Step 6: Final answer
    x = 66,974.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.