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Finding the Third Proportional to 311,839.88 and 409,475.25

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Solution

The third proportional to 311,839.88 and 409,475.25 is: 537,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,839.88 : 409,475.25 = 409,475.25 : x
  2. Step 2: Convert to fraction form
    311,839.88/409,475.25 = 409,475.25/x
  3. Step 3: Cross multiply
    311,839.88x = 409,475.25 × 409,475.25
  4. Step 4: Simplify right side
    311,839.88x = 167,669,980,362.56
  5. Step 5: Solve for x
    x = 167,669,980,362.56/311,839.88
  6. Step 6: Final answer
    x = 537,679.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.