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Finding the Third Proportional to 61,178.63 and 129,701.25

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Solution

The third proportional to 61,178.63 and 129,701.25 is: 274,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178.63 : 129,701.25 = 129,701.25 : x
  2. Step 2: Convert to fraction form
    61,178.63/129,701.25 = 129,701.25/x
  3. Step 3: Cross multiply
    61,178.63x = 129,701.25 × 129,701.25
  4. Step 4: Simplify right side
    61,178.63x = 16,822,414,251.56
  5. Step 5: Solve for x
    x = 16,822,414,251.56/61,178.63
  6. Step 6: Final answer
    x = 274,972.09

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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.