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Finding the Third Proportional to 131,377 and 287,293

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Solution

The third proportional to 131,377 and 287,293 is: 628,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,377 : 287,293 = 287,293 : x
  2. Step 2: Convert to fraction form
    131,377/287,293 = 287,293/x
  3. Step 3: Cross multiply
    131,377x = 287,293 × 287,293
  4. Step 4: Simplify right side
    131,377x = 82,537,267,849
  5. Step 5: Solve for x
    x = 82,537,267,849/131,377
  6. Step 6: Final answer
    x = 628,247.47

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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.