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Finding the Third Proportional to 7,854 and 18,939

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Solution

The third proportional to 7,854 and 18,939 is: 45,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 18,939 = 18,939 : x
  2. Step 2: Convert to fraction form
    7,854/18,939 = 18,939/x
  3. Step 3: Cross multiply
    7,854x = 18,939 × 18,939
  4. Step 4: Simplify right side
    7,854x = 358,685,721
  5. Step 5: Solve for x
    x = 358,685,721/7,854
  6. Step 6: Final answer
    x = 45,669.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.