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Finding the Third Proportional to 317,142 and 422,793

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Solution

The third proportional to 317,142 and 422,793 is: 563,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,142 : 422,793 = 422,793 : x
  2. Step 2: Convert to fraction form
    317,142/422,793 = 422,793/x
  3. Step 3: Cross multiply
    317,142x = 422,793 × 422,793
  4. Step 4: Simplify right side
    317,142x = 178,753,920,849
  5. Step 5: Solve for x
    x = 178,753,920,849/317,142
  6. Step 6: Final answer
    x = 563,640.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.