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Finding the Third Proportional to 72,781.66 and 158,377.78

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Solution

The third proportional to 72,781.66 and 158,377.78 is: 344,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,781.66 : 158,377.78 = 158,377.78 : x
  2. Step 2: Convert to fraction form
    72,781.66/158,377.78 = 158,377.78/x
  3. Step 3: Cross multiply
    72,781.66x = 158,377.78 × 158,377.78
  4. Step 4: Simplify right side
    72,781.66x = 25,083,521,593.67
  5. Step 5: Solve for x
    x = 25,083,521,593.67/72,781.66
  6. Step 6: Final answer
    x = 344,640.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.