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Finding the Third Proportional to 67,569 and 144,977

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Solution

The third proportional to 67,569 and 144,977 is: 311,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,569 : 144,977 = 144,977 : x
  2. Step 2: Convert to fraction form
    67,569/144,977 = 144,977/x
  3. Step 3: Cross multiply
    67,569x = 144,977 × 144,977
  4. Step 4: Simplify right side
    67,569x = 21,018,330,529
  5. Step 5: Solve for x
    x = 21,018,330,529/67,569
  6. Step 6: Final answer
    x = 311,064.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.