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Finding the Third Proportional to 131,655 and 198,641

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Solution

The third proportional to 131,655 and 198,641 is: 299,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,655 : 198,641 = 198,641 : x
  2. Step 2: Convert to fraction form
    131,655/198,641 = 198,641/x
  3. Step 3: Cross multiply
    131,655x = 198,641 × 198,641
  4. Step 4: Simplify right side
    131,655x = 39,458,246,881
  5. Step 5: Solve for x
    x = 39,458,246,881/131,655
  6. Step 6: Final answer
    x = 299,709.44

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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.