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Finding the Third Proportional to 70,739 and 153,919

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Solution

The third proportional to 70,739 and 153,919 is: 334,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,739 : 153,919 = 153,919 : x
  2. Step 2: Convert to fraction form
    70,739/153,919 = 153,919/x
  3. Step 3: Cross multiply
    70,739x = 153,919 × 153,919
  4. Step 4: Simplify right side
    70,739x = 23,691,058,561
  5. Step 5: Solve for x
    x = 23,691,058,561/70,739
  6. Step 6: Final answer
    x = 334,908.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.