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Finding the Third Proportional to 256,827 and 551,886

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Solution

The third proportional to 256,827 and 551,886 is: 1,185,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827 : 551,886 = 551,886 : x
  2. Step 2: Convert to fraction form
    256,827/551,886 = 551,886/x
  3. Step 3: Cross multiply
    256,827x = 551,886 × 551,886
  4. Step 4: Simplify right side
    256,827x = 304,578,156,996
  5. Step 5: Solve for x
    x = 304,578,156,996/256,827
  6. Step 6: Final answer
    x = 1,185,927.32

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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.