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Finding the Third Proportional to 131,664 and 198,659

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Solution

The third proportional to 131,664 and 198,659 is: 299,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,664 : 198,659 = 198,659 : x
  2. Step 2: Convert to fraction form
    131,664/198,659 = 198,659/x
  3. Step 3: Cross multiply
    131,664x = 198,659 × 198,659
  4. Step 4: Simplify right side
    131,664x = 39,465,398,281
  5. Step 5: Solve for x
    x = 39,465,398,281/131,664
  6. Step 6: Final answer
    x = 299,743.27

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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.