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Finding the Third Proportional to 974.53 and 1,282.92

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Solution

The third proportional to 974.53 and 1,282.92 is: 1,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,282.92 = 1,282.92 : x
  2. Step 2: Convert to fraction form
    974.53/1,282.92 = 1,282.92/x
  3. Step 3: Cross multiply
    974.53x = 1,282.92 × 1,282.92
  4. Step 4: Simplify right side
    974.53x = 1,645,888.54
  5. Step 5: Solve for x
    x = 1,645,888.54/974.53
  6. Step 6: Final answer
    x = 1,688.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.