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Finding the Third Proportional to 140,751 and 287,226

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Solution

The third proportional to 140,751 and 287,226 is: 586,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,751 : 287,226 = 287,226 : x
  2. Step 2: Convert to fraction form
    140,751/287,226 = 287,226/x
  3. Step 3: Cross multiply
    140,751x = 287,226 × 287,226
  4. Step 4: Simplify right side
    140,751x = 82,498,775,076
  5. Step 5: Solve for x
    x = 82,498,775,076/140,751
  6. Step 6: Final answer
    x = 586,132.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.