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Finding the Third Proportional to 81,652 and 122,478

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Solution

The third proportional to 81,652 and 122,478 is: 183,717

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652 : 122,478 = 122,478 : x
  2. Step 2: Convert to fraction form
    81,652/122,478 = 122,478/x
  3. Step 3: Cross multiply
    81,652x = 122,478 × 122,478
  4. Step 4: Simplify right side
    81,652x = 15,000,860,484
  5. Step 5: Solve for x
    x = 15,000,860,484/81,652
  6. Step 6: Final answer
    x = 183,717

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.