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Finding the Third Proportional to 256,141 and 551,738

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Solution

The third proportional to 256,141 and 551,738 is: 1,188,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,141 : 551,738 = 551,738 : x
  2. Step 2: Convert to fraction form
    256,141/551,738 = 551,738/x
  3. Step 3: Cross multiply
    256,141x = 551,738 × 551,738
  4. Step 4: Simplify right side
    256,141x = 304,414,820,644
  5. Step 5: Solve for x
    x = 304,414,820,644/256,141
  6. Step 6: Final answer
    x = 1,188,465.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.