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Finding the Third Proportional to 82,935 and 125,089.88

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Solution

The third proportional to 82,935 and 125,089.88 is: 188,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,935 : 125,089.88 = 125,089.88 : x
  2. Step 2: Convert to fraction form
    82,935/125,089.88 = 125,089.88/x
  3. Step 3: Cross multiply
    82,935x = 125,089.88 × 125,089.88
  4. Step 4: Simplify right side
    82,935x = 15,647,476,827.52
  5. Step 5: Solve for x
    x = 15,647,476,827.52/82,935
  6. Step 6: Final answer
    x = 188,671.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.