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Finding the Third Proportional to 255,231 and 356,805

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Solution

The third proportional to 255,231 and 356,805 is: 498,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,231 : 356,805 = 356,805 : x
  2. Step 2: Convert to fraction form
    255,231/356,805 = 356,805/x
  3. Step 3: Cross multiply
    255,231x = 356,805 × 356,805
  4. Step 4: Simplify right side
    255,231x = 127,309,808,025
  5. Step 5: Solve for x
    x = 127,309,808,025/255,231
  6. Step 6: Final answer
    x = 498,802.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.