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Finding the Third Proportional to 57,844.13 and 128,980.69

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Solution

The third proportional to 57,844.13 and 128,980.69 is: 287,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844.13 : 128,980.69 = 128,980.69 : x
  2. Step 2: Convert to fraction form
    57,844.13/128,980.69 = 128,980.69/x
  3. Step 3: Cross multiply
    57,844.13x = 128,980.69 × 128,980.69
  4. Step 4: Simplify right side
    57,844.13x = 16,636,017,747.97
  5. Step 5: Solve for x
    x = 16,636,017,747.97/57,844.13
  6. Step 6: Final answer
    x = 287,600.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.