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Finding the Third Proportional to 317,199 and 491,734.50

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Solution

The third proportional to 317,199 and 491,734.50 is: 762,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,199 : 491,734.50 = 491,734.50 : x
  2. Step 2: Convert to fraction form
    317,199/491,734.50 = 491,734.50/x
  3. Step 3: Cross multiply
    317,199x = 491,734.50 × 491,734.50
  4. Step 4: Simplify right side
    317,199x = 241,802,818,490.25
  5. Step 5: Solve for x
    x = 241,802,818,490.25/317,199
  6. Step 6: Final answer
    x = 762,306.37

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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.