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Finding the Third Proportional to 172,965.38 and 379,982.81

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Solution

The third proportional to 172,965.38 and 379,982.81 is: 834,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,965.38 : 379,982.81 = 379,982.81 : x
  2. Step 2: Convert to fraction form
    172,965.38/379,982.81 = 379,982.81/x
  3. Step 3: Cross multiply
    172,965.38x = 379,982.81 × 379,982.81
  4. Step 4: Simplify right side
    172,965.38x = 144,386,937,795.41
  5. Step 5: Solve for x
    x = 144,386,937,795.41/172,965.38
  6. Step 6: Final answer
    x = 834,773.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.