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Finding the Third Proportional to 206,371 and 308,607

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Solution

The third proportional to 206,371 and 308,607 is: 461,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,371 : 308,607 = 308,607 : x
  2. Step 2: Convert to fraction form
    206,371/308,607 = 308,607/x
  3. Step 3: Cross multiply
    206,371x = 308,607 × 308,607
  4. Step 4: Simplify right side
    206,371x = 95,238,280,449
  5. Step 5: Solve for x
    x = 95,238,280,449/206,371
  6. Step 6: Final answer
    x = 461,490.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.