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Finding the Third Proportional to 1,117.69 and 1,275.19

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Solution

The third proportional to 1,117.69 and 1,275.19 is: 1,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.69 : 1,275.19 = 1,275.19 : x
  2. Step 2: Convert to fraction form
    1,117.69/1,275.19 = 1,275.19/x
  3. Step 3: Cross multiply
    1,117.69x = 1,275.19 × 1,275.19
  4. Step 4: Simplify right side
    1,117.69x = 1,626,103.16
  5. Step 5: Solve for x
    x = 1,626,103.16/1,117.69
  6. Step 6: Final answer
    x = 1,454.88

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.