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Finding the Third Proportional to 8,120 and 12,724

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Solution

The third proportional to 8,120 and 12,724 is: 19,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 12,724 = 12,724 : x
  2. Step 2: Convert to fraction form
    8,120/12,724 = 12,724/x
  3. Step 3: Cross multiply
    8,120x = 12,724 × 12,724
  4. Step 4: Simplify right side
    8,120x = 161,900,176
  5. Step 5: Solve for x
    x = 161,900,176/8,120
  6. Step 6: Final answer
    x = 19,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.