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Finding the Third Proportional to 61,278.19 and 131,940.56

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Solution

The third proportional to 61,278.19 and 131,940.56 is: 284,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,278.19 : 131,940.56 = 131,940.56 : x
  2. Step 2: Convert to fraction form
    61,278.19/131,940.56 = 131,940.56/x
  3. Step 3: Cross multiply
    61,278.19x = 131,940.56 × 131,940.56
  4. Step 4: Simplify right side
    61,278.19x = 17,408,312,032.82
  5. Step 5: Solve for x
    x = 17,408,312,032.82/61,278.19
  6. Step 6: Final answer
    x = 284,086.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.