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Finding the Third Proportional to 192,443 and 286,612

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Solution

The third proportional to 192,443 and 286,612 is: 426,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,443 : 286,612 = 286,612 : x
  2. Step 2: Convert to fraction form
    192,443/286,612 = 286,612/x
  3. Step 3: Cross multiply
    192,443x = 286,612 × 286,612
  4. Step 4: Simplify right side
    192,443x = 82,146,438,544
  5. Step 5: Solve for x
    x = 82,146,438,544/192,443
  6. Step 6: Final answer
    x = 426,861.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.