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Finding the Third Proportional to 40,646 and 85,720

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Solution

The third proportional to 40,646 and 85,720 is: 180,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,646 : 85,720 = 85,720 : x
  2. Step 2: Convert to fraction form
    40,646/85,720 = 85,720/x
  3. Step 3: Cross multiply
    40,646x = 85,720 × 85,720
  4. Step 4: Simplify right side
    40,646x = 7,347,918,400
  5. Step 5: Solve for x
    x = 7,347,918,400/40,646
  6. Step 6: Final answer
    x = 180,778.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.