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Finding the Third Proportional to 20,946 and 30,291

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Solution

The third proportional to 20,946 and 30,291 is: 43,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946 : 30,291 = 30,291 : x
  2. Step 2: Convert to fraction form
    20,946/30,291 = 30,291/x
  3. Step 3: Cross multiply
    20,946x = 30,291 × 30,291
  4. Step 4: Simplify right side
    20,946x = 917,544,681
  5. Step 5: Solve for x
    x = 917,544,681/20,946
  6. Step 6: Final answer
    x = 43,805.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.