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Finding the Third Proportional to 4,353 and 8,486

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Solution

The third proportional to 4,353 and 8,486 is: 16,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353 : 8,486 = 8,486 : x
  2. Step 2: Convert to fraction form
    4,353/8,486 = 8,486/x
  3. Step 3: Cross multiply
    4,353x = 8,486 × 8,486
  4. Step 4: Simplify right side
    4,353x = 72,012,196
  5. Step 5: Solve for x
    x = 72,012,196/4,353
  6. Step 6: Final answer
    x = 16,543.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.