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Finding the Third Proportional to 100,210 and 140,108

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Solution

The third proportional to 100,210 and 140,108 is: 195,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,210 : 140,108 = 140,108 : x
  2. Step 2: Convert to fraction form
    100,210/140,108 = 140,108/x
  3. Step 3: Cross multiply
    100,210x = 140,108 × 140,108
  4. Step 4: Simplify right side
    100,210x = 19,630,251,664
  5. Step 5: Solve for x
    x = 19,630,251,664/100,210
  6. Step 6: Final answer
    x = 195,891.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.