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Finding the Third Proportional to 317,225 and 491,943

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Solution

The third proportional to 317,225 and 491,943 is: 762,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,225 : 491,943 = 491,943 : x
  2. Step 2: Convert to fraction form
    317,225/491,943 = 491,943/x
  3. Step 3: Cross multiply
    317,225x = 491,943 × 491,943
  4. Step 4: Simplify right side
    317,225x = 242,007,915,249
  5. Step 5: Solve for x
    x = 242,007,915,249/317,225
  6. Step 6: Final answer
    x = 762,890.43

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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.