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Finding the Third Proportional to 276,210 and 418,049

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Solution

The third proportional to 276,210 and 418,049 is: 632,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,210 : 418,049 = 418,049 : x
  2. Step 2: Convert to fraction form
    276,210/418,049 = 418,049/x
  3. Step 3: Cross multiply
    276,210x = 418,049 × 418,049
  4. Step 4: Simplify right side
    276,210x = 174,764,966,401
  5. Step 5: Solve for x
    x = 174,764,966,401/276,210
  6. Step 6: Final answer
    x = 632,724.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.