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Finding the Third Proportional to 37,021 and 81,247

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Solution

The third proportional to 37,021 and 81,247 is: 178,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021 : 81,247 = 81,247 : x
  2. Step 2: Convert to fraction form
    37,021/81,247 = 81,247/x
  3. Step 3: Cross multiply
    37,021x = 81,247 × 81,247
  4. Step 4: Simplify right side
    37,021x = 6,601,075,009
  5. Step 5: Solve for x
    x = 6,601,075,009/37,021
  6. Step 6: Final answer
    x = 178,306.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.