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Finding the Third Proportional to 792.31 and 1,229.81

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Solution

The third proportional to 792.31 and 1,229.81 is: 1,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.31 : 1,229.81 = 1,229.81 : x
  2. Step 2: Convert to fraction form
    792.31/1,229.81 = 1,229.81/x
  3. Step 3: Cross multiply
    792.31x = 1,229.81 × 1,229.81
  4. Step 4: Simplify right side
    792.31x = 1,512,438.79
  5. Step 5: Solve for x
    x = 1,512,438.79/792.31
  6. Step 6: Final answer
    x = 1,908.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.