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Finding the Third Proportional to 66,103 and 128,885

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Solution

The third proportional to 66,103 and 128,885 is: 251,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,103 : 128,885 = 128,885 : x
  2. Step 2: Convert to fraction form
    66,103/128,885 = 128,885/x
  3. Step 3: Cross multiply
    66,103x = 128,885 × 128,885
  4. Step 4: Simplify right side
    66,103x = 16,611,343,225
  5. Step 5: Solve for x
    x = 16,611,343,225/66,103
  6. Step 6: Final answer
    x = 251,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.