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Finding the Third Proportional to 9,810 and 19,860

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Solution

The third proportional to 9,810 and 19,860 is: 40,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 19,860 = 19,860 : x
  2. Step 2: Convert to fraction form
    9,810/19,860 = 19,860/x
  3. Step 3: Cross multiply
    9,810x = 19,860 × 19,860
  4. Step 4: Simplify right side
    9,810x = 394,419,600
  5. Step 5: Solve for x
    x = 394,419,600/9,810
  6. Step 6: Final answer
    x = 40,205.87

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.