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Finding the Third Proportional to 37,777 and 81,410

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Solution

The third proportional to 37,777 and 81,410 is: 175,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,777 : 81,410 = 81,410 : x
  2. Step 2: Convert to fraction form
    37,777/81,410 = 81,410/x
  3. Step 3: Cross multiply
    37,777x = 81,410 × 81,410
  4. Step 4: Simplify right side
    37,777x = 6,627,588,100
  5. Step 5: Solve for x
    x = 6,627,588,100/37,777
  6. Step 6: Final answer
    x = 175,439.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.