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Finding the Third Proportional to 19,782 and 27,789

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Solution

The third proportional to 19,782 and 27,789 is: 39,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 27,789 = 27,789 : x
  2. Step 2: Convert to fraction form
    19,782/27,789 = 27,789/x
  3. Step 3: Cross multiply
    19,782x = 27,789 × 27,789
  4. Step 4: Simplify right side
    19,782x = 772,228,521
  5. Step 5: Solve for x
    x = 772,228,521/19,782
  6. Step 6: Final answer
    x = 39,036.93

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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.