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Finding the Third Proportional to 311,281.50 and 680,227.13

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Solution

The third proportional to 311,281.50 and 680,227.13 is: 1,486,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,281.50 : 680,227.13 = 680,227.13 : x
  2. Step 2: Convert to fraction form
    311,281.50/680,227.13 = 680,227.13/x
  3. Step 3: Cross multiply
    311,281.50x = 680,227.13 × 680,227.13
  4. Step 4: Simplify right side
    311,281.50x = 462,708,941,585.77
  5. Step 5: Solve for x
    x = 462,708,941,585.77/311,281.50
  6. Step 6: Final answer
    x = 1,486,464.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.