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Finding the Third Proportional to 69,729.12 and 143,133.61

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Solution

The third proportional to 69,729.12 and 143,133.61 is: 293,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729.12 : 143,133.61 = 143,133.61 : x
  2. Step 2: Convert to fraction form
    69,729.12/143,133.61 = 143,133.61/x
  3. Step 3: Cross multiply
    69,729.12x = 143,133.61 × 143,133.61
  4. Step 4: Simplify right side
    69,729.12x = 20,487,230,132.72
  5. Step 5: Solve for x
    x = 20,487,230,132.72/69,729.12
  6. Step 6: Final answer
    x = 293,811.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.