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Finding the Third Proportional to 102,115.69 and 212,640.19

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Solution

The third proportional to 102,115.69 and 212,640.19 is: 442,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 212,640.19 = 212,640.19 : x
  2. Step 2: Convert to fraction form
    102,115.69/212,640.19 = 212,640.19/x
  3. Step 3: Cross multiply
    102,115.69x = 212,640.19 × 212,640.19
  4. Step 4: Simplify right side
    102,115.69x = 45,215,849,340.04
  5. Step 5: Solve for x
    x = 45,215,849,340.04/102,115.69
  6. Step 6: Final answer
    x = 442,790.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.