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Finding the Third Proportional to 8,459 and 20,354

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Solution

The third proportional to 8,459 and 20,354 is: 48,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459 : 20,354 = 20,354 : x
  2. Step 2: Convert to fraction form
    8,459/20,354 = 20,354/x
  3. Step 3: Cross multiply
    8,459x = 20,354 × 20,354
  4. Step 4: Simplify right side
    8,459x = 414,285,316
  5. Step 5: Solve for x
    x = 414,285,316/8,459
  6. Step 6: Final answer
    x = 48,975.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.