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Finding the Third Proportional to 205,772 and 293,689

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Solution

The third proportional to 205,772 and 293,689 is: 419,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,772 : 293,689 = 293,689 : x
  2. Step 2: Convert to fraction form
    205,772/293,689 = 293,689/x
  3. Step 3: Cross multiply
    205,772x = 293,689 × 293,689
  4. Step 4: Simplify right side
    205,772x = 86,253,228,721
  5. Step 5: Solve for x
    x = 86,253,228,721/205,772
  6. Step 6: Final answer
    x = 419,168.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.