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Finding the Third Proportional to 69,977 and 149,298

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Solution

The third proportional to 69,977 and 149,298 is: 318,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977 : 149,298 = 149,298 : x
  2. Step 2: Convert to fraction form
    69,977/149,298 = 149,298/x
  3. Step 3: Cross multiply
    69,977x = 149,298 × 149,298
  4. Step 4: Simplify right side
    69,977x = 22,289,892,804
  5. Step 5: Solve for x
    x = 22,289,892,804/69,977
  6. Step 6: Final answer
    x = 318,531.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.