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Finding the Third Proportional to 892.74 and 1,272.90

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Solution

The third proportional to 892.74 and 1,272.90 is: 1,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.74 : 1,272.90 = 1,272.90 : x
  2. Step 2: Convert to fraction form
    892.74/1,272.90 = 1,272.90/x
  3. Step 3: Cross multiply
    892.74x = 1,272.90 × 1,272.90
  4. Step 4: Simplify right side
    892.74x = 1,620,280.38
  5. Step 5: Solve for x
    x = 1,620,280.38/892.74
  6. Step 6: Final answer
    x = 1,814.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.