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Finding the Third Proportional to 20,720 and 32,321

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Solution

The third proportional to 20,720 and 32,321 is: 50,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720 : 32,321 = 32,321 : x
  2. Step 2: Convert to fraction form
    20,720/32,321 = 32,321/x
  3. Step 3: Cross multiply
    20,720x = 32,321 × 32,321
  4. Step 4: Simplify right side
    20,720x = 1,044,647,041
  5. Step 5: Solve for x
    x = 1,044,647,041/20,720
  6. Step 6: Final answer
    x = 50,417.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.