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Finding the Third Proportional to 1,147.92 and 1,228.92

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Solution

The third proportional to 1,147.92 and 1,228.92 is: 1,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.92 : 1,228.92 = 1,228.92 : x
  2. Step 2: Convert to fraction form
    1,147.92/1,228.92 = 1,228.92/x
  3. Step 3: Cross multiply
    1,147.92x = 1,228.92 × 1,228.92
  4. Step 4: Simplify right side
    1,147.92x = 1,510,248.97
  5. Step 5: Solve for x
    x = 1,510,248.97/1,147.92
  6. Step 6: Final answer
    x = 1,315.64

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.