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Finding the Third Proportional to 69,690 and 153,447

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Solution

The third proportional to 69,690 and 153,447 is: 337,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,690 : 153,447 = 153,447 : x
  2. Step 2: Convert to fraction form
    69,690/153,447 = 153,447/x
  3. Step 3: Cross multiply
    69,690x = 153,447 × 153,447
  4. Step 4: Simplify right side
    69,690x = 23,545,981,809
  5. Step 5: Solve for x
    x = 23,545,981,809/69,690
  6. Step 6: Final answer
    x = 337,867.44

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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.