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Finding the Third Proportional to 317,113 and 491,115

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Solution

The third proportional to 317,113 and 491,115 is: 760,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,113 : 491,115 = 491,115 : x
  2. Step 2: Convert to fraction form
    317,113/491,115 = 491,115/x
  3. Step 3: Cross multiply
    317,113x = 491,115 × 491,115
  4. Step 4: Simplify right side
    317,113x = 241,193,943,225
  5. Step 5: Solve for x
    x = 241,193,943,225/317,113
  6. Step 6: Final answer
    x = 760,593.05

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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.