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Finding the Third Proportional to 77,962 and 117,649

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Solution

The third proportional to 77,962 and 117,649 is: 177,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962 : 117,649 = 117,649 : x
  2. Step 2: Convert to fraction form
    77,962/117,649 = 117,649/x
  3. Step 3: Cross multiply
    77,962x = 117,649 × 117,649
  4. Step 4: Simplify right side
    77,962x = 13,841,287,201
  5. Step 5: Solve for x
    x = 13,841,287,201/77,962
  6. Step 6: Final answer
    x = 177,538.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.