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Finding the Third Proportional to 99,616 and 208,464

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Solution

The third proportional to 99,616 and 208,464 is: 436,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,616 : 208,464 = 208,464 : x
  2. Step 2: Convert to fraction form
    99,616/208,464 = 208,464/x
  3. Step 3: Cross multiply
    99,616x = 208,464 × 208,464
  4. Step 4: Simplify right side
    99,616x = 43,457,239,296
  5. Step 5: Solve for x
    x = 43,457,239,296/99,616
  6. Step 6: Final answer
    x = 436,247.58

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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.