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Finding the Third Proportional to 5,516 and 8,434

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Solution

The third proportional to 5,516 and 8,434 is: 12,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516 : 8,434 = 8,434 : x
  2. Step 2: Convert to fraction form
    5,516/8,434 = 8,434/x
  3. Step 3: Cross multiply
    5,516x = 8,434 × 8,434
  4. Step 4: Simplify right side
    5,516x = 71,132,356
  5. Step 5: Solve for x
    x = 71,132,356/5,516
  6. Step 6: Final answer
    x = 12,895.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.