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Finding the Third Proportional to 218,884.50 and 314,502.75

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Solution

The third proportional to 218,884.50 and 314,502.75 is: 451,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,884.50 : 314,502.75 = 314,502.75 : x
  2. Step 2: Convert to fraction form
    218,884.50/314,502.75 = 314,502.75/x
  3. Step 3: Cross multiply
    218,884.50x = 314,502.75 × 314,502.75
  4. Step 4: Simplify right side
    218,884.50x = 98,911,979,757.56
  5. Step 5: Solve for x
    x = 98,911,979,757.56/218,884.50
  6. Step 6: Final answer
    x = 451,891.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.