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Finding the Third Proportional to 36,422 and 77,740

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Solution

The third proportional to 36,422 and 77,740 is: 165,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422 : 77,740 = 77,740 : x
  2. Step 2: Convert to fraction form
    36,422/77,740 = 77,740/x
  3. Step 3: Cross multiply
    36,422x = 77,740 × 77,740
  4. Step 4: Simplify right side
    36,422x = 6,043,507,600
  5. Step 5: Solve for x
    x = 6,043,507,600/36,422
  6. Step 6: Final answer
    x = 165,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.