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Finding the Third Proportional to 205,184 and 309,128

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Solution

The third proportional to 205,184 and 309,128 is: 465,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,184 : 309,128 = 309,128 : x
  2. Step 2: Convert to fraction form
    205,184/309,128 = 309,128/x
  3. Step 3: Cross multiply
    205,184x = 309,128 × 309,128
  4. Step 4: Simplify right side
    205,184x = 95,560,120,384
  5. Step 5: Solve for x
    x = 95,560,120,384/205,184
  6. Step 6: Final answer
    x = 465,728.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.