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Finding the Third Proportional to 192,010 and 287,247

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Solution

The third proportional to 192,010 and 287,247 is: 429,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,010 : 287,247 = 287,247 : x
  2. Step 2: Convert to fraction form
    192,010/287,247 = 287,247/x
  3. Step 3: Cross multiply
    192,010x = 287,247 × 287,247
  4. Step 4: Simplify right side
    192,010x = 82,510,839,009
  5. Step 5: Solve for x
    x = 82,510,839,009/192,010
  6. Step 6: Final answer
    x = 429,721.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.