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Finding the Third Proportional to 69,660 and 148,311

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Solution

The third proportional to 69,660 and 148,311 is: 315,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,660 : 148,311 = 148,311 : x
  2. Step 2: Convert to fraction form
    69,660/148,311 = 148,311/x
  3. Step 3: Cross multiply
    69,660x = 148,311 × 148,311
  4. Step 4: Simplify right side
    69,660x = 21,996,152,721
  5. Step 5: Solve for x
    x = 21,996,152,721/69,660
  6. Step 6: Final answer
    x = 315,764.47

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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.