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Finding the Third Proportional to 77,611 and 118,672

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Solution

The third proportional to 77,611 and 118,672 is: 181,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,611 : 118,672 = 118,672 : x
  2. Step 2: Convert to fraction form
    77,611/118,672 = 118,672/x
  3. Step 3: Cross multiply
    77,611x = 118,672 × 118,672
  4. Step 4: Simplify right side
    77,611x = 14,083,043,584
  5. Step 5: Solve for x
    x = 14,083,043,584/77,611
  6. Step 6: Final answer
    x = 181,456.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.