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Finding the Third Proportional to 129,170.81 and 188,652.94

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Solution

The third proportional to 129,170.81 and 188,652.94 is: 275,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,170.81 : 188,652.94 = 188,652.94 : x
  2. Step 2: Convert to fraction form
    129,170.81/188,652.94 = 188,652.94/x
  3. Step 3: Cross multiply
    129,170.81x = 188,652.94 × 188,652.94
  4. Step 4: Simplify right side
    129,170.81x = 35,589,930,827.38
  5. Step 5: Solve for x
    x = 35,589,930,827.38/129,170.81
  6. Step 6: Final answer
    x = 275,526.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.