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Finding the Third Proportional to 8,463 and 19,506

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Solution

The third proportional to 8,463 and 19,506 is: 44,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463 : 19,506 = 19,506 : x
  2. Step 2: Convert to fraction form
    8,463/19,506 = 19,506/x
  3. Step 3: Cross multiply
    8,463x = 19,506 × 19,506
  4. Step 4: Simplify right side
    8,463x = 380,484,036
  5. Step 5: Solve for x
    x = 380,484,036/8,463
  6. Step 6: Final answer
    x = 44,958.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.