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Finding the Third Proportional to 100,902 and 212,258

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Solution

The third proportional to 100,902 and 212,258 is: 446,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902 : 212,258 = 212,258 : x
  2. Step 2: Convert to fraction form
    100,902/212,258 = 212,258/x
  3. Step 3: Cross multiply
    100,902x = 212,258 × 212,258
  4. Step 4: Simplify right side
    100,902x = 45,053,458,564
  5. Step 5: Solve for x
    x = 45,053,458,564/100,902
  6. Step 6: Final answer
    x = 446,507.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.