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Finding the Third Proportional to 202,091.63 and 280,989.56

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Solution

The third proportional to 202,091.63 and 280,989.56 is: 390,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091.63 : 280,989.56 = 280,989.56 : x
  2. Step 2: Convert to fraction form
    202,091.63/280,989.56 = 280,989.56/x
  3. Step 3: Cross multiply
    202,091.63x = 280,989.56 × 280,989.56
  4. Step 4: Simplify right side
    202,091.63x = 78,955,134,233.94
  5. Step 5: Solve for x
    x = 78,955,134,233.94/202,091.63
  6. Step 6: Final answer
    x = 390,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.