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Finding the Third Proportional to 20,242 and 30,646

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Solution

The third proportional to 20,242 and 30,646 is: 46,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 30,646 = 30,646 : x
  2. Step 2: Convert to fraction form
    20,242/30,646 = 30,646/x
  3. Step 3: Cross multiply
    20,242x = 30,646 × 30,646
  4. Step 4: Simplify right side
    20,242x = 939,177,316
  5. Step 5: Solve for x
    x = 939,177,316/20,242
  6. Step 6: Final answer
    x = 46,397.46

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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.