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Finding the Third Proportional to 36,851 and 79,489

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Solution

The third proportional to 36,851 and 79,489 is: 171,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851 : 79,489 = 79,489 : x
  2. Step 2: Convert to fraction form
    36,851/79,489 = 79,489/x
  3. Step 3: Cross multiply
    36,851x = 79,489 × 79,489
  4. Step 4: Simplify right side
    36,851x = 6,318,501,121
  5. Step 5: Solve for x
    x = 6,318,501,121/36,851
  6. Step 6: Final answer
    x = 171,460.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.