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Finding the Third Proportional to 140,742 and 287,214

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Solution

The third proportional to 140,742 and 287,214 is: 586,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,742 : 287,214 = 287,214 : x
  2. Step 2: Convert to fraction form
    140,742/287,214 = 287,214/x
  3. Step 3: Cross multiply
    140,742x = 287,214 × 287,214
  4. Step 4: Simplify right side
    140,742x = 82,491,881,796
  5. Step 5: Solve for x
    x = 82,491,881,796/140,742
  6. Step 6: Final answer
    x = 586,121.28

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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.