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Finding the Third Proportional to 68,796 and 150,915

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Solution

The third proportional to 68,796 and 150,915 is: 331,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,796 : 150,915 = 150,915 : x
  2. Step 2: Convert to fraction form
    68,796/150,915 = 150,915/x
  3. Step 3: Cross multiply
    68,796x = 150,915 × 150,915
  4. Step 4: Simplify right side
    68,796x = 22,775,337,225
  5. Step 5: Solve for x
    x = 22,775,337,225/68,796
  6. Step 6: Final answer
    x = 331,056.13

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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.