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Finding the Third Proportional to 37,991 and 78,411

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Solution

The third proportional to 37,991 and 78,411 is: 161,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991 : 78,411 = 78,411 : x
  2. Step 2: Convert to fraction form
    37,991/78,411 = 78,411/x
  3. Step 3: Cross multiply
    37,991x = 78,411 × 78,411
  4. Step 4: Simplify right side
    37,991x = 6,148,284,921
  5. Step 5: Solve for x
    x = 6,148,284,921/37,991
  6. Step 6: Final answer
    x = 161,835.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.