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Finding the Third Proportional to 99,931 and 212,809

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Solution

The third proportional to 99,931 and 212,809 is: 453,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,931 : 212,809 = 212,809 : x
  2. Step 2: Convert to fraction form
    99,931/212,809 = 212,809/x
  3. Step 3: Cross multiply
    99,931x = 212,809 × 212,809
  4. Step 4: Simplify right side
    99,931x = 45,287,670,481
  5. Step 5: Solve for x
    x = 45,287,670,481/99,931
  6. Step 6: Final answer
    x = 453,189.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.