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Finding the Third Proportional to 19,909 and 39,817

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Solution

The third proportional to 19,909 and 39,817 is: 79,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909 : 39,817 = 39,817 : x
  2. Step 2: Convert to fraction form
    19,909/39,817 = 39,817/x
  3. Step 3: Cross multiply
    19,909x = 39,817 × 39,817
  4. Step 4: Simplify right side
    19,909x = 1,585,393,489
  5. Step 5: Solve for x
    x = 1,585,393,489/19,909
  6. Step 6: Final answer
    x = 79,632.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.