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Finding the Third Proportional to 61,216.13 and 128,628.75

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Solution

The third proportional to 61,216.13 and 128,628.75 is: 270,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,216.13 : 128,628.75 = 128,628.75 : x
  2. Step 2: Convert to fraction form
    61,216.13/128,628.75 = 128,628.75/x
  3. Step 3: Cross multiply
    61,216.13x = 128,628.75 × 128,628.75
  4. Step 4: Simplify right side
    61,216.13x = 16,545,355,326.56
  5. Step 5: Solve for x
    x = 16,545,355,326.56/61,216.13
  6. Step 6: Final answer
    x = 270,277.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.