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Finding the Third Proportional to 99,624 and 208,480

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Solution

The third proportional to 99,624 and 208,480 is: 436,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,624 : 208,480 = 208,480 : x
  2. Step 2: Convert to fraction form
    99,624/208,480 = 208,480/x
  3. Step 3: Cross multiply
    99,624x = 208,480 × 208,480
  4. Step 4: Simplify right side
    99,624x = 43,463,910,400
  5. Step 5: Solve for x
    x = 43,463,910,400/99,624
  6. Step 6: Final answer
    x = 436,279.51

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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.