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Finding the Third Proportional to 731.81 and 1,124.86

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Solution

The third proportional to 731.81 and 1,124.86 is: 1,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,124.86 = 1,124.86 : x
  2. Step 2: Convert to fraction form
    731.81/1,124.86 = 1,124.86/x
  3. Step 3: Cross multiply
    731.81x = 1,124.86 × 1,124.86
  4. Step 4: Simplify right side
    731.81x = 1,265,308.61
  5. Step 5: Solve for x
    x = 1,265,308.61/731.81
  6. Step 6: Final answer
    x = 1,729.01

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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.