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Finding the Third Proportional to 21,832 and 40,599.50

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Solution

The third proportional to 21,832 and 40,599.50 is: 75,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 40,599.50 = 40,599.50 : x
  2. Step 2: Convert to fraction form
    21,832/40,599.50 = 40,599.50/x
  3. Step 3: Cross multiply
    21,832x = 40,599.50 × 40,599.50
  4. Step 4: Simplify right side
    21,832x = 1,648,319,400.25
  5. Step 5: Solve for x
    x = 1,648,319,400.25/21,832
  6. Step 6: Final answer
    x = 75,500.16

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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.