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Finding the Third Proportional to 12,678 and 19,785

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Solution

The third proportional to 12,678 and 19,785 is: 30,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 19,785 = 19,785 : x
  2. Step 2: Convert to fraction form
    12,678/19,785 = 19,785/x
  3. Step 3: Cross multiply
    12,678x = 19,785 × 19,785
  4. Step 4: Simplify right side
    12,678x = 391,446,225
  5. Step 5: Solve for x
    x = 391,446,225/12,678
  6. Step 6: Final answer
    x = 30,876.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.