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Finding the Third Proportional to 109,516 and 121,036

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Solution

The third proportional to 109,516 and 121,036 is: 133,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,516 : 121,036 = 121,036 : x
  2. Step 2: Convert to fraction form
    109,516/121,036 = 121,036/x
  3. Step 3: Cross multiply
    109,516x = 121,036 × 121,036
  4. Step 4: Simplify right side
    109,516x = 14,649,713,296
  5. Step 5: Solve for x
    x = 14,649,713,296/109,516
  6. Step 6: Final answer
    x = 133,767.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.