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Finding the Third Proportional to 20,887 and 32,815

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Solution

The third proportional to 20,887 and 32,815 is: 51,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887 : 32,815 = 32,815 : x
  2. Step 2: Convert to fraction form
    20,887/32,815 = 32,815/x
  3. Step 3: Cross multiply
    20,887x = 32,815 × 32,815
  4. Step 4: Simplify right side
    20,887x = 1,076,824,225
  5. Step 5: Solve for x
    x = 1,076,824,225/20,887
  6. Step 6: Final answer
    x = 51,554.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.