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Finding the Third Proportional to 218,412 and 339,282

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Solution

The third proportional to 218,412 and 339,282 is: 527,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412 : 339,282 = 339,282 : x
  2. Step 2: Convert to fraction form
    218,412/339,282 = 339,282/x
  3. Step 3: Cross multiply
    218,412x = 339,282 × 339,282
  4. Step 4: Simplify right side
    218,412x = 115,112,275,524
  5. Step 5: Solve for x
    x = 115,112,275,524/218,412
  6. Step 6: Final answer
    x = 527,041.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.