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Finding the Third Proportional to 40,832 and 75,832

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Solution

The third proportional to 40,832 and 75,832 is: 140,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 75,832 = 75,832 : x
  2. Step 2: Convert to fraction form
    40,832/75,832 = 75,832/x
  3. Step 3: Cross multiply
    40,832x = 75,832 × 75,832
  4. Step 4: Simplify right side
    40,832x = 5,750,492,224
  5. Step 5: Solve for x
    x = 5,750,492,224/40,832
  6. Step 6: Final answer
    x = 140,832.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.