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Finding the Third Proportional to 71,178.75 and 106,719.75

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Solution

The third proportional to 71,178.75 and 106,719.75 is: 160,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.75 : 106,719.75 = 106,719.75 : x
  2. Step 2: Convert to fraction form
    71,178.75/106,719.75 = 106,719.75/x
  3. Step 3: Cross multiply
    71,178.75x = 106,719.75 × 106,719.75
  4. Step 4: Simplify right side
    71,178.75x = 11,389,105,040.06
  5. Step 5: Solve for x
    x = 11,389,105,040.06/71,178.75
  6. Step 6: Final answer
    x = 160,007.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.