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Finding the Third Proportional to 131,441 and 287,206

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Solution

The third proportional to 131,441 and 287,206 is: 627,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,441 : 287,206 = 287,206 : x
  2. Step 2: Convert to fraction form
    131,441/287,206 = 287,206/x
  3. Step 3: Cross multiply
    131,441x = 287,206 × 287,206
  4. Step 4: Simplify right side
    131,441x = 82,487,286,436
  5. Step 5: Solve for x
    x = 82,487,286,436/131,441
  6. Step 6: Final answer
    x = 627,561.31

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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.