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Finding the Third Proportional to 43,212 and 87,624

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Solution

The third proportional to 43,212 and 87,624 is: 177,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,212 : 87,624 = 87,624 : x
  2. Step 2: Convert to fraction form
    43,212/87,624 = 87,624/x
  3. Step 3: Cross multiply
    43,212x = 87,624 × 87,624
  4. Step 4: Simplify right side
    43,212x = 7,677,965,376
  5. Step 5: Solve for x
    x = 7,677,965,376/43,212
  6. Step 6: Final answer
    x = 177,681.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.