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Finding the Third Proportional to 70,177 and 153,949

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Solution

The third proportional to 70,177 and 153,949 is: 337,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,177 : 153,949 = 153,949 : x
  2. Step 2: Convert to fraction form
    70,177/153,949 = 153,949/x
  3. Step 3: Cross multiply
    70,177x = 153,949 × 153,949
  4. Step 4: Simplify right side
    70,177x = 23,700,294,601
  5. Step 5: Solve for x
    x = 23,700,294,601/70,177
  6. Step 6: Final answer
    x = 337,721.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.