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Finding the Third Proportional to 39,505 and 83,657

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Solution

The third proportional to 39,505 and 83,657 is: 177,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,505 : 83,657 = 83,657 : x
  2. Step 2: Convert to fraction form
    39,505/83,657 = 83,657/x
  3. Step 3: Cross multiply
    39,505x = 83,657 × 83,657
  4. Step 4: Simplify right side
    39,505x = 6,998,493,649
  5. Step 5: Solve for x
    x = 6,998,493,649/39,505
  6. Step 6: Final answer
    x = 177,154.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.