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Finding the Third Proportional to 532.57 and 1,139.17

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Solution

The third proportional to 532.57 and 1,139.17 is: 2,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 1,139.17 = 1,139.17 : x
  2. Step 2: Convert to fraction form
    532.57/1,139.17 = 1,139.17/x
  3. Step 3: Cross multiply
    532.57x = 1,139.17 × 1,139.17
  4. Step 4: Simplify right side
    532.57x = 1,297,712.56
  5. Step 5: Solve for x
    x = 1,297,712.56/532.57
  6. Step 6: Final answer
    x = 2,436.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.