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Finding the Third Proportional to 316,500 and 422,793

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Solution

The third proportional to 316,500 and 422,793 is: 564,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,500 : 422,793 = 422,793 : x
  2. Step 2: Convert to fraction form
    316,500/422,793 = 422,793/x
  3. Step 3: Cross multiply
    316,500x = 422,793 × 422,793
  4. Step 4: Simplify right side
    316,500x = 178,753,920,849
  5. Step 5: Solve for x
    x = 178,753,920,849/316,500
  6. Step 6: Final answer
    x = 564,783.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.