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Finding the Third Proportional to 239,677 and 345,259

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Solution

The third proportional to 239,677 and 345,259 is: 497,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,677 : 345,259 = 345,259 : x
  2. Step 2: Convert to fraction form
    239,677/345,259 = 345,259/x
  3. Step 3: Cross multiply
    239,677x = 345,259 × 345,259
  4. Step 4: Simplify right side
    239,677x = 119,203,777,081
  5. Step 5: Solve for x
    x = 119,203,777,081/239,677
  6. Step 6: Final answer
    x = 497,351.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.