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Finding the Third Proportional to 5,456 and 8,464

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Solution

The third proportional to 5,456 and 8,464 is: 13,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456 : 8,464 = 8,464 : x
  2. Step 2: Convert to fraction form
    5,456/8,464 = 8,464/x
  3. Step 3: Cross multiply
    5,456x = 8,464 × 8,464
  4. Step 4: Simplify right side
    5,456x = 71,639,296
  5. Step 5: Solve for x
    x = 71,639,296/5,456
  6. Step 6: Final answer
    x = 13,130.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.