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Finding the Third Proportional to 206,298 and 278,343

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Solution

The third proportional to 206,298 and 278,343 is: 375,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,298 : 278,343 = 278,343 : x
  2. Step 2: Convert to fraction form
    206,298/278,343 = 278,343/x
  3. Step 3: Cross multiply
    206,298x = 278,343 × 278,343
  4. Step 4: Simplify right side
    206,298x = 77,474,825,649
  5. Step 5: Solve for x
    x = 77,474,825,649/206,298
  6. Step 6: Final answer
    x = 375,548.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.