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Finding the Third Proportional to 206,499 and 313,677

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Solution

The third proportional to 206,499 and 313,677 is: 476,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,499 : 313,677 = 313,677 : x
  2. Step 2: Convert to fraction form
    206,499/313,677 = 313,677/x
  3. Step 3: Cross multiply
    206,499x = 313,677 × 313,677
  4. Step 4: Simplify right side
    206,499x = 98,393,260,329
  5. Step 5: Solve for x
    x = 98,393,260,329/206,499
  6. Step 6: Final answer
    x = 476,482.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.