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Finding the Third Proportional to 100,178 and 215,906

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Solution

The third proportional to 100,178 and 215,906 is: 465,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178 : 215,906 = 215,906 : x
  2. Step 2: Convert to fraction form
    100,178/215,906 = 215,906/x
  3. Step 3: Cross multiply
    100,178x = 215,906 × 215,906
  4. Step 4: Simplify right side
    100,178x = 46,615,400,836
  5. Step 5: Solve for x
    x = 46,615,400,836/100,178
  6. Step 6: Final answer
    x = 465,325.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.