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Finding the Third Proportional to 131,670 and 198,668

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Solution

The third proportional to 131,670 and 198,668 is: 299,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,670 : 198,668 = 198,668 : x
  2. Step 2: Convert to fraction form
    131,670/198,668 = 198,668/x
  3. Step 3: Cross multiply
    131,670x = 198,668 × 198,668
  4. Step 4: Simplify right side
    131,670x = 39,468,974,224
  5. Step 5: Solve for x
    x = 39,468,974,224/131,670
  6. Step 6: Final answer
    x = 299,756.77

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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.