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Finding the Third Proportional to 45,121 and 66,142

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Solution

The third proportional to 45,121 and 66,142 is: 96,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,121 : 66,142 = 66,142 : x
  2. Step 2: Convert to fraction form
    45,121/66,142 = 66,142/x
  3. Step 3: Cross multiply
    45,121x = 66,142 × 66,142
  4. Step 4: Simplify right side
    45,121x = 4,374,764,164
  5. Step 5: Solve for x
    x = 4,374,764,164/45,121
  6. Step 6: Final answer
    x = 96,956.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.