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Finding the Third Proportional to 61,806.75 and 131,199.75

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Solution

The third proportional to 61,806.75 and 131,199.75 is: 278,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,806.75 : 131,199.75 = 131,199.75 : x
  2. Step 2: Convert to fraction form
    61,806.75/131,199.75 = 131,199.75/x
  3. Step 3: Cross multiply
    61,806.75x = 131,199.75 × 131,199.75
  4. Step 4: Simplify right side
    61,806.75x = 17,213,374,400.06
  5. Step 5: Solve for x
    x = 17,213,374,400.06/61,806.75
  6. Step 6: Final answer
    x = 278,503.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.