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Finding the Third Proportional to 103,198.78 and 221,656.78

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Solution

The third proportional to 103,198.78 and 221,656.78 is: 476,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,198.78 : 221,656.78 = 221,656.78 : x
  2. Step 2: Convert to fraction form
    103,198.78/221,656.78 = 221,656.78/x
  3. Step 3: Cross multiply
    103,198.78x = 221,656.78 × 221,656.78
  4. Step 4: Simplify right side
    103,198.78x = 49,131,728,674.11
  5. Step 5: Solve for x
    x = 49,131,728,674.11/103,198.78
  6. Step 6: Final answer
    x = 476,088.26

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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.