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Finding the Third Proportional to 61,980.75 and 127,228.50

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Solution

The third proportional to 61,980.75 and 127,228.50 is: 261,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980.75 : 127,228.50 = 127,228.50 : x
  2. Step 2: Convert to fraction form
    61,980.75/127,228.50 = 127,228.50/x
  3. Step 3: Cross multiply
    61,980.75x = 127,228.50 × 127,228.50
  4. Step 4: Simplify right side
    61,980.75x = 16,187,091,212.25
  5. Step 5: Solve for x
    x = 16,187,091,212.25/61,980.75
  6. Step 6: Final answer
    x = 261,163.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.