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Finding the Third Proportional to 66,900 and 91,122

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Solution

The third proportional to 66,900 and 91,122 is: 124,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,900 : 91,122 = 91,122 : x
  2. Step 2: Convert to fraction form
    66,900/91,122 = 91,122/x
  3. Step 3: Cross multiply
    66,900x = 91,122 × 91,122
  4. Step 4: Simplify right side
    66,900x = 8,303,218,884
  5. Step 5: Solve for x
    x = 8,303,218,884/66,900
  6. Step 6: Final answer
    x = 124,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.