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Finding the Third Proportional to 222,800.63 and 309,414.94

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Solution

The third proportional to 222,800.63 and 309,414.94 is: 429,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,800.63 : 309,414.94 = 309,414.94 : x
  2. Step 2: Convert to fraction form
    222,800.63/309,414.94 = 309,414.94/x
  3. Step 3: Cross multiply
    222,800.63x = 309,414.94 × 309,414.94
  4. Step 4: Simplify right side
    222,800.63x = 95,737,603,548.13
  5. Step 5: Solve for x
    x = 95,737,603,548.13/222,800.63
  6. Step 6: Final answer
    x = 429,700.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.