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Finding the Third Proportional to 62,378 and 137,211

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Solution

The third proportional to 62,378 and 137,211 is: 301,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,378 : 137,211 = 137,211 : x
  2. Step 2: Convert to fraction form
    62,378/137,211 = 137,211/x
  3. Step 3: Cross multiply
    62,378x = 137,211 × 137,211
  4. Step 4: Simplify right side
    62,378x = 18,826,858,521
  5. Step 5: Solve for x
    x = 18,826,858,521/62,378
  6. Step 6: Final answer
    x = 301,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.