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Finding the Third Proportional to 70,520 and 153,902

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Solution

The third proportional to 70,520 and 153,902 is: 335,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,520 : 153,902 = 153,902 : x
  2. Step 2: Convert to fraction form
    70,520/153,902 = 153,902/x
  3. Step 3: Cross multiply
    70,520x = 153,902 × 153,902
  4. Step 4: Simplify right side
    70,520x = 23,685,825,604
  5. Step 5: Solve for x
    x = 23,685,825,604/70,520
  6. Step 6: Final answer
    x = 335,873.87

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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.