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Finding the Third Proportional to 131,476 and 287,286

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Solution

The third proportional to 131,476 and 287,286 is: 627,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,476 : 287,286 = 287,286 : x
  2. Step 2: Convert to fraction form
    131,476/287,286 = 287,286/x
  3. Step 3: Cross multiply
    131,476x = 287,286 × 287,286
  4. Step 4: Simplify right side
    131,476x = 82,533,245,796
  5. Step 5: Solve for x
    x = 82,533,245,796/131,476
  6. Step 6: Final answer
    x = 627,743.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.