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Finding the Third Proportional to 100,986 and 212,418

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Solution

The third proportional to 100,986 and 212,418 is: 446,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986 : 212,418 = 212,418 : x
  2. Step 2: Convert to fraction form
    100,986/212,418 = 212,418/x
  3. Step 3: Cross multiply
    100,986x = 212,418 × 212,418
  4. Step 4: Simplify right side
    100,986x = 45,121,406,724
  5. Step 5: Solve for x
    x = 45,121,406,724/100,986
  6. Step 6: Final answer
    x = 446,808.54

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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.