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Finding the Third Proportional to 102,948.50 and 222,299

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Solution

The third proportional to 102,948.50 and 222,299 is: 480,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948.50 : 222,299 = 222,299 : x
  2. Step 2: Convert to fraction form
    102,948.50/222,299 = 222,299/x
  3. Step 3: Cross multiply
    102,948.50x = 222,299 × 222,299
  4. Step 4: Simplify right side
    102,948.50x = 49,416,845,401
  5. Step 5: Solve for x
    x = 49,416,845,401/102,948.50
  6. Step 6: Final answer
    x = 480,015.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.