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Finding the Third Proportional to 70,102 and 108,851

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Solution

The third proportional to 70,102 and 108,851 is: 169,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102 : 108,851 = 108,851 : x
  2. Step 2: Convert to fraction form
    70,102/108,851 = 108,851/x
  3. Step 3: Cross multiply
    70,102x = 108,851 × 108,851
  4. Step 4: Simplify right side
    70,102x = 11,848,540,201
  5. Step 5: Solve for x
    x = 11,848,540,201/70,102
  6. Step 6: Final answer
    x = 169,018.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.