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Finding the Third Proportional to 317,197 and 491,901

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Solution

The third proportional to 317,197 and 491,901 is: 762,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,197 : 491,901 = 491,901 : x
  2. Step 2: Convert to fraction form
    317,197/491,901 = 491,901/x
  3. Step 3: Cross multiply
    317,197x = 491,901 × 491,901
  4. Step 4: Simplify right side
    317,197x = 241,966,593,801
  5. Step 5: Solve for x
    x = 241,966,593,801/317,197
  6. Step 6: Final answer
    x = 762,827.50

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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.