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Finding the Third Proportional to 218,497.50 and 314,826.75

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Solution

The third proportional to 218,497.50 and 314,826.75 is: 453,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,497.50 : 314,826.75 = 314,826.75 : x
  2. Step 2: Convert to fraction form
    218,497.50/314,826.75 = 314,826.75/x
  3. Step 3: Cross multiply
    218,497.50x = 314,826.75 × 314,826.75
  4. Step 4: Simplify right side
    218,497.50x = 99,115,882,515.56
  5. Step 5: Solve for x
    x = 99,115,882,515.56/218,497.50
  6. Step 6: Final answer
    x = 453,624.79

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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.