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Finding the Third Proportional to 109,502.25 and 121,022.25

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Solution

The third proportional to 109,502.25 and 121,022.25 is: 133,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,502.25 : 121,022.25 = 121,022.25 : x
  2. Step 2: Convert to fraction form
    109,502.25/121,022.25 = 121,022.25/x
  3. Step 3: Cross multiply
    109,502.25x = 121,022.25 × 121,022.25
  4. Step 4: Simplify right side
    109,502.25x = 14,646,384,995.06
  5. Step 5: Solve for x
    x = 14,646,384,995.06/109,502.25
  6. Step 6: Final answer
    x = 133,754.19

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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.