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Finding the Third Proportional to 35,911.50 and 77,115

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Solution

The third proportional to 35,911.50 and 77,115 is: 165,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,911.50 : 77,115 = 77,115 : x
  2. Step 2: Convert to fraction form
    35,911.50/77,115 = 77,115/x
  3. Step 3: Cross multiply
    35,911.50x = 77,115 × 77,115
  4. Step 4: Simplify right side
    35,911.50x = 5,946,723,225
  5. Step 5: Solve for x
    x = 5,946,723,225/35,911.50
  6. Step 6: Final answer
    x = 165,593.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.