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Finding the Third Proportional to 256,012 and 551,260

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Solution

The third proportional to 256,012 and 551,260 is: 1,187,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012 : 551,260 = 551,260 : x
  2. Step 2: Convert to fraction form
    256,012/551,260 = 551,260/x
  3. Step 3: Cross multiply
    256,012x = 551,260 × 551,260
  4. Step 4: Simplify right side
    256,012x = 303,887,587,600
  5. Step 5: Solve for x
    x = 303,887,587,600/256,012
  6. Step 6: Final answer
    x = 1,187,005.25

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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.