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Finding the Third Proportional to 205,983 and 292,086

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Solution

The third proportional to 205,983 and 292,086 is: 414,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983 : 292,086 = 292,086 : x
  2. Step 2: Convert to fraction form
    205,983/292,086 = 292,086/x
  3. Step 3: Cross multiply
    205,983x = 292,086 × 292,086
  4. Step 4: Simplify right side
    205,983x = 85,314,231,396
  5. Step 5: Solve for x
    x = 85,314,231,396/205,983
  6. Step 6: Final answer
    x = 414,180.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.