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Finding the Third Proportional to 8,140 and 19,806

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Solution

The third proportional to 8,140 and 19,806 is: 48,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140 : 19,806 = 19,806 : x
  2. Step 2: Convert to fraction form
    8,140/19,806 = 19,806/x
  3. Step 3: Cross multiply
    8,140x = 19,806 × 19,806
  4. Step 4: Simplify right side
    8,140x = 392,277,636
  5. Step 5: Solve for x
    x = 392,277,636/8,140
  6. Step 6: Final answer
    x = 48,191.36

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.