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Finding the Third Proportional to 158,508 and 330,108

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Solution

The third proportional to 158,508 and 330,108 is: 687,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,508 : 330,108 = 330,108 : x
  2. Step 2: Convert to fraction form
    158,508/330,108 = 330,108/x
  3. Step 3: Cross multiply
    158,508x = 330,108 × 330,108
  4. Step 4: Simplify right side
    158,508x = 108,971,291,664
  5. Step 5: Solve for x
    x = 108,971,291,664/158,508
  6. Step 6: Final answer
    x = 687,481.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.