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Finding the Third Proportional to 132,422 and 198,929

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Solution

The third proportional to 132,422 and 198,929 is: 298,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,422 : 198,929 = 198,929 : x
  2. Step 2: Convert to fraction form
    132,422/198,929 = 198,929/x
  3. Step 3: Cross multiply
    132,422x = 198,929 × 198,929
  4. Step 4: Simplify right side
    132,422x = 39,572,747,041
  5. Step 5: Solve for x
    x = 39,572,747,041/132,422
  6. Step 6: Final answer
    x = 298,838.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.