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Finding the Third Proportional to 179,964 and 279,378

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Solution

The third proportional to 179,964 and 279,378 is: 433,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 279,378 = 279,378 : x
  2. Step 2: Convert to fraction form
    179,964/279,378 = 279,378/x
  3. Step 3: Cross multiply
    179,964x = 279,378 × 279,378
  4. Step 4: Simplify right side
    179,964x = 78,052,066,884
  5. Step 5: Solve for x
    x = 78,052,066,884/179,964
  6. Step 6: Final answer
    x = 433,709.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.