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Finding the Third Proportional to 76,981.78 and 168,949.41

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Solution

The third proportional to 76,981.78 and 168,949.41 is: 370,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981.78 : 168,949.41 = 168,949.41 : x
  2. Step 2: Convert to fraction form
    76,981.78/168,949.41 = 168,949.41/x
  3. Step 3: Cross multiply
    76,981.78x = 168,949.41 × 168,949.41
  4. Step 4: Simplify right side
    76,981.78x = 28,543,901,872.23
  5. Step 5: Solve for x
    x = 28,543,901,872.23/76,981.78
  6. Step 6: Final answer
    x = 370,787.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.