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Finding the Third Proportional to 311,761.13 and 666,168.75

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Solution

The third proportional to 311,761.13 and 666,168.75 is: 1,423,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761.13 : 666,168.75 = 666,168.75 : x
  2. Step 2: Convert to fraction form
    311,761.13/666,168.75 = 666,168.75/x
  3. Step 3: Cross multiply
    311,761.13x = 666,168.75 × 666,168.75
  4. Step 4: Simplify right side
    311,761.13x = 443,780,803,476.56
  5. Step 5: Solve for x
    x = 443,780,803,476.56/311,761.13
  6. Step 6: Final answer
    x = 1,423,464.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.