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Finding the Third Proportional to 179,424 and 278,612

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Solution

The third proportional to 179,424 and 278,612 is: 432,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,424 : 278,612 = 278,612 : x
  2. Step 2: Convert to fraction form
    179,424/278,612 = 278,612/x
  3. Step 3: Cross multiply
    179,424x = 278,612 × 278,612
  4. Step 4: Simplify right side
    179,424x = 77,624,646,544
  5. Step 5: Solve for x
    x = 77,624,646,544/179,424
  6. Step 6: Final answer
    x = 432,632.46

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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.