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Finding the Third Proportional to 12,663 and 15,283.69

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Solution

The third proportional to 12,663 and 15,283.69 is: 18,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663 : 15,283.69 = 15,283.69 : x
  2. Step 2: Convert to fraction form
    12,663/15,283.69 = 15,283.69/x
  3. Step 3: Cross multiply
    12,663x = 15,283.69 × 15,283.69
  4. Step 4: Simplify right side
    12,663x = 233,591,103.60
  5. Step 5: Solve for x
    x = 233,591,103.60/12,663
  6. Step 6: Final answer
    x = 18,446.74

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.