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Finding the Third Proportional to 279,966 and 430,908

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Solution

The third proportional to 279,966 and 430,908 is: 663,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,966 : 430,908 = 430,908 : x
  2. Step 2: Convert to fraction form
    279,966/430,908 = 430,908/x
  3. Step 3: Cross multiply
    279,966x = 430,908 × 430,908
  4. Step 4: Simplify right side
    279,966x = 185,681,704,464
  5. Step 5: Solve for x
    x = 185,681,704,464/279,966
  6. Step 6: Final answer
    x = 663,229.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.