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Finding the Third Proportional to 7,758 and 12,337

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Solution

The third proportional to 7,758 and 12,337 is: 19,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 12,337 = 12,337 : x
  2. Step 2: Convert to fraction form
    7,758/12,337 = 12,337/x
  3. Step 3: Cross multiply
    7,758x = 12,337 × 12,337
  4. Step 4: Simplify right side
    7,758x = 152,201,569
  5. Step 5: Solve for x
    x = 152,201,569/7,758
  6. Step 6: Final answer
    x = 19,618.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.