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Finding the Third Proportional to 100,938 and 212,331

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Solution

The third proportional to 100,938 and 212,331 is: 446,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,938 : 212,331 = 212,331 : x
  2. Step 2: Convert to fraction form
    100,938/212,331 = 212,331/x
  3. Step 3: Cross multiply
    100,938x = 212,331 × 212,331
  4. Step 4: Simplify right side
    100,938x = 45,084,453,561
  5. Step 5: Solve for x
    x = 45,084,453,561/100,938
  6. Step 6: Final answer
    x = 446,654.91

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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.