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Finding the Third Proportional to 81,903.23 and 178,960.22

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Solution

The third proportional to 81,903.23 and 178,960.22 is: 391,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.23 : 178,960.22 = 178,960.22 : x
  2. Step 2: Convert to fraction form
    81,903.23/178,960.22 = 178,960.22/x
  3. Step 3: Cross multiply
    81,903.23x = 178,960.22 × 178,960.22
  4. Step 4: Simplify right side
    81,903.23x = 32,026,759,895.05
  5. Step 5: Solve for x
    x = 32,026,759,895.05/81,903.23
  6. Step 6: Final answer
    x = 391,031.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.