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Finding the Third Proportional to 67,740.75 and 105,231.38

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Solution

The third proportional to 67,740.75 and 105,231.38 is: 163,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,740.75 : 105,231.38 = 105,231.38 : x
  2. Step 2: Convert to fraction form
    67,740.75/105,231.38 = 105,231.38/x
  3. Step 3: Cross multiply
    67,740.75x = 105,231.38 × 105,231.38
  4. Step 4: Simplify right side
    67,740.75x = 11,073,642,284.39
  5. Step 5: Solve for x
    x = 11,073,642,284.39/67,740.75
  6. Step 6: Final answer
    x = 163,470.91

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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.