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Finding the Third Proportional to 10,203 and 20,791

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Solution

The third proportional to 10,203 and 20,791 is: 42,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203 : 20,791 = 20,791 : x
  2. Step 2: Convert to fraction form
    10,203/20,791 = 20,791/x
  3. Step 3: Cross multiply
    10,203x = 20,791 × 20,791
  4. Step 4: Simplify right side
    10,203x = 432,265,681
  5. Step 5: Solve for x
    x = 432,265,681/10,203
  6. Step 6: Final answer
    x = 42,366.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.