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Finding the Third Proportional to 839.74 and 1,147.61

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Solution

The third proportional to 839.74 and 1,147.61 is: 1,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.74 : 1,147.61 = 1,147.61 : x
  2. Step 2: Convert to fraction form
    839.74/1,147.61 = 1,147.61/x
  3. Step 3: Cross multiply
    839.74x = 1,147.61 × 1,147.61
  4. Step 4: Simplify right side
    839.74x = 1,316,998.31
  5. Step 5: Solve for x
    x = 1,316,998.31/839.74
  6. Step 6: Final answer
    x = 1,568.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.