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Finding the Third Proportional to 68,419.69 and 105,515.16

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Solution

The third proportional to 68,419.69 and 105,515.16 is: 162,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419.69 : 105,515.16 = 105,515.16 : x
  2. Step 2: Convert to fraction form
    68,419.69/105,515.16 = 105,515.16/x
  3. Step 3: Cross multiply
    68,419.69x = 105,515.16 × 105,515.16
  4. Step 4: Simplify right side
    68,419.69x = 11,133,448,198.46
  5. Step 5: Solve for x
    x = 11,133,448,198.46/68,419.69
  6. Step 6: Final answer
    x = 162,722.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.