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Finding the Third Proportional to 8,440 and 13,708

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Solution

The third proportional to 8,440 and 13,708 is: 22,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 13,708 = 13,708 : x
  2. Step 2: Convert to fraction form
    8,440/13,708 = 13,708/x
  3. Step 3: Cross multiply
    8,440x = 13,708 × 13,708
  4. Step 4: Simplify right side
    8,440x = 187,909,264
  5. Step 5: Solve for x
    x = 187,909,264/8,440
  6. Step 6: Final answer
    x = 22,264.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.