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Finding the Third Proportional to 31,807 and 73,273

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Solution

The third proportional to 31,807 and 73,273 is: 168,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807 : 73,273 = 73,273 : x
  2. Step 2: Convert to fraction form
    31,807/73,273 = 73,273/x
  3. Step 3: Cross multiply
    31,807x = 73,273 × 73,273
  4. Step 4: Simplify right side
    31,807x = 5,368,932,529
  5. Step 5: Solve for x
    x = 5,368,932,529/31,807
  6. Step 6: Final answer
    x = 168,797.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.