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Finding the Third Proportional to 103,046,564.75 and 222,235,193

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Solution

The third proportional to 103,046,564.75 and 222,235,193 is: 479,283,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,564.75 : 222,235,193 = 222,235,193 : x
  2. Step 2: Convert to fraction form
    103,046,564.75/222,235,193 = 222,235,193/x
  3. Step 3: Cross multiply
    103,046,564.75x = 222,235,193 × 222,235,193
  4. Step 4: Simplify right side
    103,046,564.75x = 49,388,481,007,747,248
  5. Step 5: Solve for x
    x = 49,388,481,007,747,248/103,046,564.75
  6. Step 6: Final answer
    x = 479,283,138.91

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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.