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Finding the Third Proportional to 631.86 and 1,366.24

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Solution

The third proportional to 631.86 and 1,366.24 is: 2,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 1,366.24 = 1,366.24 : x
  2. Step 2: Convert to fraction form
    631.86/1,366.24 = 1,366.24/x
  3. Step 3: Cross multiply
    631.86x = 1,366.24 × 1,366.24
  4. Step 4: Simplify right side
    631.86x = 1,866,617.71
  5. Step 5: Solve for x
    x = 1,866,617.71/631.86
  6. Step 6: Final answer
    x = 2,954.15

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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.