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Finding the Third Proportional to 76,827.38 and 120,519.75

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Solution

The third proportional to 76,827.38 and 120,519.75 is: 189,060.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827.38 : 120,519.75 = 120,519.75 : x
  2. Step 2: Convert to fraction form
    76,827.38/120,519.75 = 120,519.75/x
  3. Step 3: Cross multiply
    76,827.38x = 120,519.75 × 120,519.75
  4. Step 4: Simplify right side
    76,827.38x = 14,525,010,140.06
  5. Step 5: Solve for x
    x = 14,525,010,140.06/76,827.38
  6. Step 6: Final answer
    x = 189,060.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.