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Finding the Third Proportional to 77,961 and 121,505

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Solution

The third proportional to 77,961 and 121,505 is: 189,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,961 : 121,505 = 121,505 : x
  2. Step 2: Convert to fraction form
    77,961/121,505 = 121,505/x
  3. Step 3: Cross multiply
    77,961x = 121,505 × 121,505
  4. Step 4: Simplify right side
    77,961x = 14,763,465,025
  5. Step 5: Solve for x
    x = 14,763,465,025/77,961
  6. Step 6: Final answer
    x = 189,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.