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Finding the Third Proportional to 631.97 and 1,146.23

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Solution

The third proportional to 631.97 and 1,146.23 is: 2,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.97 : 1,146.23 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    631.97/1,146.23 = 1,146.23/x
  3. Step 3: Cross multiply
    631.97x = 1,146.23 × 1,146.23
  4. Step 4: Simplify right side
    631.97x = 1,313,853.24
  5. Step 5: Solve for x
    x = 1,313,853.24/631.97
  6. Step 6: Final answer
    x = 2,078.98

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.