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Finding the Third Proportional to 131,638.50 and 198,621

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Solution

The third proportional to 131,638.50 and 198,621 is: 299,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,638.50 : 198,621 = 198,621 : x
  2. Step 2: Convert to fraction form
    131,638.50/198,621 = 198,621/x
  3. Step 3: Cross multiply
    131,638.50x = 198,621 × 198,621
  4. Step 4: Simplify right side
    131,638.50x = 39,450,301,641
  5. Step 5: Solve for x
    x = 39,450,301,641/131,638.50
  6. Step 6: Final answer
    x = 299,686.65

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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.