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Finding the Third Proportional to 115,266 and 169,155

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Solution

The third proportional to 115,266 and 169,155 is: 248,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,266 : 169,155 = 169,155 : x
  2. Step 2: Convert to fraction form
    115,266/169,155 = 169,155/x
  3. Step 3: Cross multiply
    115,266x = 169,155 × 169,155
  4. Step 4: Simplify right side
    115,266x = 28,613,414,025
  5. Step 5: Solve for x
    x = 28,613,414,025/115,266
  6. Step 6: Final answer
    x = 248,238.11

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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.