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Finding the Third Proportional to 206,427 and 317,385

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Solution

The third proportional to 206,427 and 317,385 is: 487,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427 : 317,385 = 317,385 : x
  2. Step 2: Convert to fraction form
    206,427/317,385 = 317,385/x
  3. Step 3: Cross multiply
    206,427x = 317,385 × 317,385
  4. Step 4: Simplify right side
    206,427x = 100,733,238,225
  5. Step 5: Solve for x
    x = 100,733,238,225/206,427
  6. Step 6: Final answer
    x = 487,984.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.