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Finding the Third Proportional to 631.86 and 1,335.87

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Solution

The third proportional to 631.86 and 1,335.87 is: 2,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 1,335.87 = 1,335.87 : x
  2. Step 2: Convert to fraction form
    631.86/1,335.87 = 1,335.87/x
  3. Step 3: Cross multiply
    631.86x = 1,335.87 × 1,335.87
  4. Step 4: Simplify right side
    631.86x = 1,784,541.14
  5. Step 5: Solve for x
    x = 1,784,541.14/631.86
  6. Step 6: Final answer
    x = 2,824.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.