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Finding the Third Proportional to 74,920.78 and 159,376.78

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Solution

The third proportional to 74,920.78 and 159,376.78 is: 339,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,920.78 : 159,376.78 = 159,376.78 : x
  2. Step 2: Convert to fraction form
    74,920.78/159,376.78 = 159,376.78/x
  3. Step 3: Cross multiply
    74,920.78x = 159,376.78 × 159,376.78
  4. Step 4: Simplify right side
    74,920.78x = 25,400,958,401.61
  5. Step 5: Solve for x
    x = 25,400,958,401.61/74,920.78
  6. Step 6: Final answer
    x = 339,037.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.