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Finding the Third Proportional to 81,863.16 and 178,941.66

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Solution

The third proportional to 81,863.16 and 178,941.66 is: 391,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.16 : 178,941.66 = 178,941.66 : x
  2. Step 2: Convert to fraction form
    81,863.16/178,941.66 = 178,941.66/x
  3. Step 3: Cross multiply
    81,863.16x = 178,941.66 × 178,941.66
  4. Step 4: Simplify right side
    81,863.16x = 32,020,116,341.49
  5. Step 5: Solve for x
    x = 32,020,116,341.49/81,863.16
  6. Step 6: Final answer
    x = 391,141.97

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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.