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Finding the Third Proportional to 20,215 and 30,603

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Solution

The third proportional to 20,215 and 30,603 is: 46,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215 : 30,603 = 30,603 : x
  2. Step 2: Convert to fraction form
    20,215/30,603 = 30,603/x
  3. Step 3: Cross multiply
    20,215x = 30,603 × 30,603
  4. Step 4: Simplify right side
    20,215x = 936,543,609
  5. Step 5: Solve for x
    x = 936,543,609/20,215
  6. Step 6: Final answer
    x = 46,329.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.