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Finding the Third Proportional to 19,654 and 27,787

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Solution

The third proportional to 19,654 and 27,787 is: 39,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 27,787 = 27,787 : x
  2. Step 2: Convert to fraction form
    19,654/27,787 = 27,787/x
  3. Step 3: Cross multiply
    19,654x = 27,787 × 27,787
  4. Step 4: Simplify right side
    19,654x = 772,117,369
  5. Step 5: Solve for x
    x = 772,117,369/19,654
  6. Step 6: Final answer
    x = 39,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.