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Finding the Third Proportional to 66,403 and 143,876

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Solution

The third proportional to 66,403 and 143,876 is: 311,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,403 : 143,876 = 143,876 : x
  2. Step 2: Convert to fraction form
    66,403/143,876 = 143,876/x
  3. Step 3: Cross multiply
    66,403x = 143,876 × 143,876
  4. Step 4: Simplify right side
    66,403x = 20,700,303,376
  5. Step 5: Solve for x
    x = 20,700,303,376/66,403
  6. Step 6: Final answer
    x = 311,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.