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Finding the Third Proportional to 218,437.50 and 293,589.75

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Solution

The third proportional to 218,437.50 and 293,589.75 is: 394,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,437.50 : 293,589.75 = 293,589.75 : x
  2. Step 2: Convert to fraction form
    218,437.50/293,589.75 = 293,589.75/x
  3. Step 3: Cross multiply
    218,437.50x = 293,589.75 × 293,589.75
  4. Step 4: Simplify right side
    218,437.50x = 86,194,941,305.06
  5. Step 5: Solve for x
    x = 86,194,941,305.06/218,437.50
  6. Step 6: Final answer
    x = 394,597.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.