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Finding the Third Proportional to 70,170 and 149,103

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Solution

The third proportional to 70,170 and 149,103 is: 316,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,170 : 149,103 = 149,103 : x
  2. Step 2: Convert to fraction form
    70,170/149,103 = 149,103/x
  3. Step 3: Cross multiply
    70,170x = 149,103 × 149,103
  4. Step 4: Simplify right side
    70,170x = 22,231,704,609
  5. Step 5: Solve for x
    x = 22,231,704,609/70,170
  6. Step 6: Final answer
    x = 316,826.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.