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Finding the Third Proportional to 274,354 and 412,259

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Solution

The third proportional to 274,354 and 412,259 is: 619,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,354 : 412,259 = 412,259 : x
  2. Step 2: Convert to fraction form
    274,354/412,259 = 412,259/x
  3. Step 3: Cross multiply
    274,354x = 412,259 × 412,259
  4. Step 4: Simplify right side
    274,354x = 169,957,483,081
  5. Step 5: Solve for x
    x = 169,957,483,081/274,354
  6. Step 6: Final answer
    x = 619,482.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.