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Finding the Third Proportional to 51,146 and 74,122

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Solution

The third proportional to 51,146 and 74,122 is: 107,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146 : 74,122 = 74,122 : x
  2. Step 2: Convert to fraction form
    51,146/74,122 = 74,122/x
  3. Step 3: Cross multiply
    51,146x = 74,122 × 74,122
  4. Step 4: Simplify right side
    51,146x = 5,494,070,884
  5. Step 5: Solve for x
    x = 5,494,070,884/51,146
  6. Step 6: Final answer
    x = 107,419.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.