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Finding the Third Proportional to 131,281 and 287,977

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Solution

The third proportional to 131,281 and 287,977 is: 631,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,281 : 287,977 = 287,977 : x
  2. Step 2: Convert to fraction form
    131,281/287,977 = 287,977/x
  3. Step 3: Cross multiply
    131,281x = 287,977 × 287,977
  4. Step 4: Simplify right side
    131,281x = 82,930,752,529
  5. Step 5: Solve for x
    x = 82,930,752,529/131,281
  6. Step 6: Final answer
    x = 631,704.15

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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.