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Finding the Third Proportional to 70,203 and 153,930

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Solution

The third proportional to 70,203 and 153,930 is: 337,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,203 : 153,930 = 153,930 : x
  2. Step 2: Convert to fraction form
    70,203/153,930 = 153,930/x
  3. Step 3: Cross multiply
    70,203x = 153,930 × 153,930
  4. Step 4: Simplify right side
    70,203x = 23,694,444,900
  5. Step 5: Solve for x
    x = 23,694,444,900/70,203
  6. Step 6: Final answer
    x = 337,513.28

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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.