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Finding the Third Proportional to 270,494 and 421,049

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Solution

The third proportional to 270,494 and 421,049 is: 655,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,494 : 421,049 = 421,049 : x
  2. Step 2: Convert to fraction form
    270,494/421,049 = 421,049/x
  3. Step 3: Cross multiply
    270,494x = 421,049 × 421,049
  4. Step 4: Simplify right side
    270,494x = 177,282,260,401
  5. Step 5: Solve for x
    x = 177,282,260,401/270,494
  6. Step 6: Final answer
    x = 655,401.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.