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Finding the Third Proportional to 66,101 and 128,881

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Solution

The third proportional to 66,101 and 128,881 is: 251,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101 : 128,881 = 128,881 : x
  2. Step 2: Convert to fraction form
    66,101/128,881 = 128,881/x
  3. Step 3: Cross multiply
    66,101x = 128,881 × 128,881
  4. Step 4: Simplify right side
    66,101x = 16,610,312,161
  5. Step 5: Solve for x
    x = 16,610,312,161/66,101
  6. Step 6: Final answer
    x = 251,286.85

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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.