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Finding the Third Proportional to 131,238 and 198,423

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Solution

The third proportional to 131,238 and 198,423 is: 300,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,238 : 198,423 = 198,423 : x
  2. Step 2: Convert to fraction form
    131,238/198,423 = 198,423/x
  3. Step 3: Cross multiply
    131,238x = 198,423 × 198,423
  4. Step 4: Simplify right side
    131,238x = 39,371,686,929
  5. Step 5: Solve for x
    x = 39,371,686,929/131,238
  6. Step 6: Final answer
    x = 300,002.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.