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Finding the Third Proportional to 864.28 and 1,332.42

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Solution

The third proportional to 864.28 and 1,332.42 is: 2,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.28 : 1,332.42 = 1,332.42 : x
  2. Step 2: Convert to fraction form
    864.28/1,332.42 = 1,332.42/x
  3. Step 3: Cross multiply
    864.28x = 1,332.42 × 1,332.42
  4. Step 4: Simplify right side
    864.28x = 1,775,348.05
  5. Step 5: Solve for x
    x = 1,775,348.05/864.28
  6. Step 6: Final answer
    x = 2,054.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.