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Finding the Third Proportional to 202,092.75 and 280,990.13

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Solution

The third proportional to 202,092.75 and 280,990.13 is: 390,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.75 : 280,990.13 = 280,990.13 : x
  2. Step 2: Convert to fraction form
    202,092.75/280,990.13 = 280,990.13/x
  3. Step 3: Cross multiply
    202,092.75x = 280,990.13 × 280,990.13
  4. Step 4: Simplify right side
    202,092.75x = 78,955,450,347.52
  5. Step 5: Solve for x
    x = 78,955,450,347.52/202,092.75
  6. Step 6: Final answer
    x = 390,689.18

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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.