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Finding the Third Proportional to 206,778 and 319,158

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Solution

The third proportional to 206,778 and 319,158 is: 492,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,778 : 319,158 = 319,158 : x
  2. Step 2: Convert to fraction form
    206,778/319,158 = 319,158/x
  3. Step 3: Cross multiply
    206,778x = 319,158 × 319,158
  4. Step 4: Simplify right side
    206,778x = 101,861,828,964
  5. Step 5: Solve for x
    x = 101,861,828,964/206,778
  6. Step 6: Final answer
    x = 492,614.44

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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.