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Finding the Third Proportional to 81,617.63 and 173,145.09

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Solution

The third proportional to 81,617.63 and 173,145.09 is: 367,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,617.63 : 173,145.09 = 173,145.09 : x
  2. Step 2: Convert to fraction form
    81,617.63/173,145.09 = 173,145.09/x
  3. Step 3: Cross multiply
    81,617.63x = 173,145.09 × 173,145.09
  4. Step 4: Simplify right side
    81,617.63x = 29,979,223,489.70
  5. Step 5: Solve for x
    x = 29,979,223,489.70/81,617.63
  6. Step 6: Final answer
    x = 367,313.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.