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Finding the Third Proportional to 276,964 and 414,966

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Solution

The third proportional to 276,964 and 414,966 is: 621,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,964 : 414,966 = 414,966 : x
  2. Step 2: Convert to fraction form
    276,964/414,966 = 414,966/x
  3. Step 3: Cross multiply
    276,964x = 414,966 × 414,966
  4. Step 4: Simplify right side
    276,964x = 172,196,781,156
  5. Step 5: Solve for x
    x = 172,196,781,156/276,964
  6. Step 6: Final answer
    x = 621,729.83

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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.