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Finding the Third Proportional to 103,452 and 222,214.25

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Solution

The third proportional to 103,452 and 222,214.25 is: 477,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,452 : 222,214.25 = 222,214.25 : x
  2. Step 2: Convert to fraction form
    103,452/222,214.25 = 222,214.25/x
  3. Step 3: Cross multiply
    103,452x = 222,214.25 × 222,214.25
  4. Step 4: Simplify right side
    103,452x = 49,379,172,903.06
  5. Step 5: Solve for x
    x = 49,379,172,903.06/103,452
  6. Step 6: Final answer
    x = 477,314.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.