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Finding the Third Proportional to 20,710 and 32,809

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Solution

The third proportional to 20,710 and 32,809 is: 51,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 32,809 = 32,809 : x
  2. Step 2: Convert to fraction form
    20,710/32,809 = 32,809/x
  3. Step 3: Cross multiply
    20,710x = 32,809 × 32,809
  4. Step 4: Simplify right side
    20,710x = 1,076,430,481
  5. Step 5: Solve for x
    x = 1,076,430,481/20,710
  6. Step 6: Final answer
    x = 51,976.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.