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Finding the Third Proportional to 99,984 and 209,208

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Solution

The third proportional to 99,984 and 209,208 is: 437,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,984 : 209,208 = 209,208 : x
  2. Step 2: Convert to fraction form
    99,984/209,208 = 209,208/x
  3. Step 3: Cross multiply
    99,984x = 209,208 × 209,208
  4. Step 4: Simplify right side
    99,984x = 43,767,987,264
  5. Step 5: Solve for x
    x = 43,767,987,264/99,984
  6. Step 6: Final answer
    x = 437,749.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.