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Finding the Third Proportional to 208,049 and 319,850

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Solution

The third proportional to 208,049 and 319,850 is: 491,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,049 : 319,850 = 319,850 : x
  2. Step 2: Convert to fraction form
    208,049/319,850 = 319,850/x
  3. Step 3: Cross multiply
    208,049x = 319,850 × 319,850
  4. Step 4: Simplify right side
    208,049x = 102,304,022,500
  5. Step 5: Solve for x
    x = 102,304,022,500/208,049
  6. Step 6: Final answer
    x = 491,730.42

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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.