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Finding the Third Proportional to 334.69 and 831.47

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Solution

The third proportional to 334.69 and 831.47 is: 2,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 831.47 = 831.47 : x
  2. Step 2: Convert to fraction form
    334.69/831.47 = 831.47/x
  3. Step 3: Cross multiply
    334.69x = 831.47 × 831.47
  4. Step 4: Simplify right side
    334.69x = 691,340.28
  5. Step 5: Solve for x
    x = 691,340.28/334.69
  6. Step 6: Final answer
    x = 2,065.63

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.