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Finding the Third Proportional to 532.83 and 1,151.02

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Solution

The third proportional to 532.83 and 1,151.02 is: 2,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 1,151.02 = 1,151.02 : x
  2. Step 2: Convert to fraction form
    532.83/1,151.02 = 1,151.02/x
  3. Step 3: Cross multiply
    532.83x = 1,151.02 × 1,151.02
  4. Step 4: Simplify right side
    532.83x = 1,324,836.97
  5. Step 5: Solve for x
    x = 1,324,836.97/532.83
  6. Step 6: Final answer
    x = 2,486.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.