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Finding the Third Proportional to 70,039 and 100,682

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Solution

The third proportional to 70,039 and 100,682 is: 144,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,039 : 100,682 = 100,682 : x
  2. Step 2: Convert to fraction form
    70,039/100,682 = 100,682/x
  3. Step 3: Cross multiply
    70,039x = 100,682 × 100,682
  4. Step 4: Simplify right side
    70,039x = 10,136,865,124
  5. Step 5: Solve for x
    x = 10,136,865,124/70,039
  6. Step 6: Final answer
    x = 144,731.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.