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Finding the Third Proportional to 115,268 and 169,158

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Solution

The third proportional to 115,268 and 169,158 is: 248,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,268 : 169,158 = 169,158 : x
  2. Step 2: Convert to fraction form
    115,268/169,158 = 169,158/x
  3. Step 3: Cross multiply
    115,268x = 169,158 × 169,158
  4. Step 4: Simplify right side
    115,268x = 28,614,428,964
  5. Step 5: Solve for x
    x = 28,614,428,964/115,268
  6. Step 6: Final answer
    x = 248,242.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.