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Finding the Third Proportional to 62,768 and 137,977

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Solution

The third proportional to 62,768 and 137,977 is: 303,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,768 : 137,977 = 137,977 : x
  2. Step 2: Convert to fraction form
    62,768/137,977 = 137,977/x
  3. Step 3: Cross multiply
    62,768x = 137,977 × 137,977
  4. Step 4: Simplify right side
    62,768x = 19,037,652,529
  5. Step 5: Solve for x
    x = 19,037,652,529/62,768
  6. Step 6: Final answer
    x = 303,301.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.