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Finding the Third Proportional to 872.81 and 1,657.88

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Solution

The third proportional to 872.81 and 1,657.88 is: 3,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.81 : 1,657.88 = 1,657.88 : x
  2. Step 2: Convert to fraction form
    872.81/1,657.88 = 1,657.88/x
  3. Step 3: Cross multiply
    872.81x = 1,657.88 × 1,657.88
  4. Step 4: Simplify right side
    872.81x = 2,748,549.52
  5. Step 5: Solve for x
    x = 2,748,549.52/872.81
  6. Step 6: Final answer
    x = 3,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.