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Finding the Third Proportional to 67,409.72 and 105,742.97

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Solution

The third proportional to 67,409.72 and 105,742.97 is: 165,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,409.72 : 105,742.97 = 105,742.97 : x
  2. Step 2: Convert to fraction form
    67,409.72/105,742.97 = 105,742.97/x
  3. Step 3: Cross multiply
    67,409.72x = 105,742.97 × 105,742.97
  4. Step 4: Simplify right side
    67,409.72x = 11,181,575,440.06
  5. Step 5: Solve for x
    x = 11,181,575,440.06/67,409.72
  6. Step 6: Final answer
    x = 165,874.83

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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.