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Finding the Third Proportional to 62,991 and 136,647

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Solution

The third proportional to 62,991 and 136,647 is: 296,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,991 : 136,647 = 136,647 : x
  2. Step 2: Convert to fraction form
    62,991/136,647 = 136,647/x
  3. Step 3: Cross multiply
    62,991x = 136,647 × 136,647
  4. Step 4: Simplify right side
    62,991x = 18,672,402,609
  5. Step 5: Solve for x
    x = 18,672,402,609/62,991
  6. Step 6: Final answer
    x = 296,429.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.