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Finding the Third Proportional to 4,508 and 10,433

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Solution

The third proportional to 4,508 and 10,433 is: 24,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508 : 10,433 = 10,433 : x
  2. Step 2: Convert to fraction form
    4,508/10,433 = 10,433/x
  3. Step 3: Cross multiply
    4,508x = 10,433 × 10,433
  4. Step 4: Simplify right side
    4,508x = 108,847,489
  5. Step 5: Solve for x
    x = 108,847,489/4,508
  6. Step 6: Final answer
    x = 24,145.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.