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Finding the Third Proportional to 37,431 and 81,785.25

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Solution

The third proportional to 37,431 and 81,785.25 is: 178,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 81,785.25 = 81,785.25 : x
  2. Step 2: Convert to fraction form
    37,431/81,785.25 = 81,785.25/x
  3. Step 3: Cross multiply
    37,431x = 81,785.25 × 81,785.25
  4. Step 4: Simplify right side
    37,431x = 6,688,827,117.56
  5. Step 5: Solve for x
    x = 6,688,827,117.56/37,431
  6. Step 6: Final answer
    x = 178,697.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.