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Finding the Third Proportional to 3,506 and 8,117

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Solution

The third proportional to 3,506 and 8,117 is: 18,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506 : 8,117 = 8,117 : x
  2. Step 2: Convert to fraction form
    3,506/8,117 = 8,117/x
  3. Step 3: Cross multiply
    3,506x = 8,117 × 8,117
  4. Step 4: Simplify right side
    3,506x = 65,885,689
  5. Step 5: Solve for x
    x = 65,885,689/3,506
  6. Step 6: Final answer
    x = 18,792.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.