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Finding the Third Proportional to 131,652 and 198,638

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Solution

The third proportional to 131,652 and 198,638 is: 299,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,652 : 198,638 = 198,638 : x
  2. Step 2: Convert to fraction form
    131,652/198,638 = 198,638/x
  3. Step 3: Cross multiply
    131,652x = 198,638 × 198,638
  4. Step 4: Simplify right side
    131,652x = 39,457,055,044
  5. Step 5: Solve for x
    x = 39,457,055,044/131,652
  6. Step 6: Final answer
    x = 299,707.22

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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.