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Finding the Third Proportional to 77,209 and 117,311

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Solution

The third proportional to 77,209 and 117,311 is: 178,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,209 : 117,311 = 117,311 : x
  2. Step 2: Convert to fraction form
    77,209/117,311 = 117,311/x
  3. Step 3: Cross multiply
    77,209x = 117,311 × 117,311
  4. Step 4: Simplify right side
    77,209x = 13,761,870,721
  5. Step 5: Solve for x
    x = 13,761,870,721/77,209
  6. Step 6: Final answer
    x = 178,241.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.