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Finding the Third Proportional to 62,470 and 131,912

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Solution

The third proportional to 62,470 and 131,912 is: 278,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,470 : 131,912 = 131,912 : x
  2. Step 2: Convert to fraction form
    62,470/131,912 = 131,912/x
  3. Step 3: Cross multiply
    62,470x = 131,912 × 131,912
  4. Step 4: Simplify right side
    62,470x = 17,400,775,744
  5. Step 5: Solve for x
    x = 17,400,775,744/62,470
  6. Step 6: Final answer
    x = 278,546.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.