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Finding the Third Proportional to 7,319 and 13,846

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Solution

The third proportional to 7,319 and 13,846 is: 26,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 13,846 = 13,846 : x
  2. Step 2: Convert to fraction form
    7,319/13,846 = 13,846/x
  3. Step 3: Cross multiply
    7,319x = 13,846 × 13,846
  4. Step 4: Simplify right side
    7,319x = 191,711,716
  5. Step 5: Solve for x
    x = 191,711,716/7,319
  6. Step 6: Final answer
    x = 26,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.