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Finding the Third Proportional to 316,984.50 and 491,586.75

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Solution

The third proportional to 316,984.50 and 491,586.75 is: 762,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,984.50 : 491,586.75 = 491,586.75 : x
  2. Step 2: Convert to fraction form
    316,984.50/491,586.75 = 491,586.75/x
  3. Step 3: Cross multiply
    316,984.50x = 491,586.75 × 491,586.75
  4. Step 4: Simplify right side
    316,984.50x = 241,657,532,775.56
  5. Step 5: Solve for x
    x = 241,657,532,775.56/316,984.50
  6. Step 6: Final answer
    x = 762,363.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.