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Finding the Third Proportional to 131,981 and 212,498

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Solution

The third proportional to 131,981 and 212,498 is: 342,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,981 : 212,498 = 212,498 : x
  2. Step 2: Convert to fraction form
    131,981/212,498 = 212,498/x
  3. Step 3: Cross multiply
    131,981x = 212,498 × 212,498
  4. Step 4: Simplify right side
    131,981x = 45,155,400,004
  5. Step 5: Solve for x
    x = 45,155,400,004/131,981
  6. Step 6: Final answer
    x = 342,135.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.