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Finding the Third Proportional to 100,989 and 212,427

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Solution

The third proportional to 100,989 and 212,427 is: 446,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,989 : 212,427 = 212,427 : x
  2. Step 2: Convert to fraction form
    100,989/212,427 = 212,427/x
  3. Step 3: Cross multiply
    100,989x = 212,427 × 212,427
  4. Step 4: Simplify right side
    100,989x = 45,125,230,329
  5. Step 5: Solve for x
    x = 45,125,230,329/100,989
  6. Step 6: Final answer
    x = 446,833.12

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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.