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Finding the Third Proportional to 206,436.09 and 319,047.61

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Solution

The third proportional to 206,436.09 and 319,047.61 is: 493,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.09 : 319,047.61 = 319,047.61 : x
  2. Step 2: Convert to fraction form
    206,436.09/319,047.61 = 319,047.61/x
  3. Step 3: Cross multiply
    206,436.09x = 319,047.61 × 319,047.61
  4. Step 4: Simplify right side
    206,436.09x = 101,791,377,047.90
  5. Step 5: Solve for x
    x = 101,791,377,047.90/206,436.09
  6. Step 6: Final answer
    x = 493,089.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.