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Finding the Third Proportional to 37,807 and 81,392

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Solution

The third proportional to 37,807 and 81,392 is: 175,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807 : 81,392 = 81,392 : x
  2. Step 2: Convert to fraction form
    37,807/81,392 = 81,392/x
  3. Step 3: Cross multiply
    37,807x = 81,392 × 81,392
  4. Step 4: Simplify right side
    37,807x = 6,624,657,664
  5. Step 5: Solve for x
    x = 6,624,657,664/37,807
  6. Step 6: Final answer
    x = 175,223.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.