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Finding the Third Proportional to 7,782 and 12,447

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Solution

The third proportional to 7,782 and 12,447 is: 19,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 12,447 = 12,447 : x
  2. Step 2: Convert to fraction form
    7,782/12,447 = 12,447/x
  3. Step 3: Cross multiply
    7,782x = 12,447 × 12,447
  4. Step 4: Simplify right side
    7,782x = 154,927,809
  5. Step 5: Solve for x
    x = 154,927,809/7,782
  6. Step 6: Final answer
    x = 19,908.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.