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Finding the Third Proportional to 317,228 and 491,946

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Solution

The third proportional to 317,228 and 491,946 is: 762,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,228 : 491,946 = 491,946 : x
  2. Step 2: Convert to fraction form
    317,228/491,946 = 491,946/x
  3. Step 3: Cross multiply
    317,228x = 491,946 × 491,946
  4. Step 4: Simplify right side
    317,228x = 242,010,866,916
  5. Step 5: Solve for x
    x = 242,010,866,916/317,228
  6. Step 6: Final answer
    x = 762,892.52

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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.