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Finding the Third Proportional to 831.52 and 1,340.93

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Solution

The third proportional to 831.52 and 1,340.93 is: 2,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.52 : 1,340.93 = 1,340.93 : x
  2. Step 2: Convert to fraction form
    831.52/1,340.93 = 1,340.93/x
  3. Step 3: Cross multiply
    831.52x = 1,340.93 × 1,340.93
  4. Step 4: Simplify right side
    831.52x = 1,798,092.43
  5. Step 5: Solve for x
    x = 1,798,092.43/831.52
  6. Step 6: Final answer
    x = 2,162.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.