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Finding the Third Proportional to 131,655 and 198,642

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Solution

The third proportional to 131,655 and 198,642 is: 299,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,655 : 198,642 = 198,642 : x
  2. Step 2: Convert to fraction form
    131,655/198,642 = 198,642/x
  3. Step 3: Cross multiply
    131,655x = 198,642 × 198,642
  4. Step 4: Simplify right side
    131,655x = 39,458,644,164
  5. Step 5: Solve for x
    x = 39,458,644,164/131,655
  6. Step 6: Final answer
    x = 299,712.46

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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.