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Finding the Third Proportional to 99,475 and 203,546

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Solution

The third proportional to 99,475 and 203,546 is: 416,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,475 : 203,546 = 203,546 : x
  2. Step 2: Convert to fraction form
    99,475/203,546 = 203,546/x
  3. Step 3: Cross multiply
    99,475x = 203,546 × 203,546
  4. Step 4: Simplify right side
    99,475x = 41,430,974,116
  5. Step 5: Solve for x
    x = 41,430,974,116/99,475
  6. Step 6: Final answer
    x = 416,496.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.