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Finding the Third Proportional to 256,349 and 552,141

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Solution

The third proportional to 256,349 and 552,141 is: 1,189,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,349 : 552,141 = 552,141 : x
  2. Step 2: Convert to fraction form
    256,349/552,141 = 552,141/x
  3. Step 3: Cross multiply
    256,349x = 552,141 × 552,141
  4. Step 4: Simplify right side
    256,349x = 304,859,683,881
  5. Step 5: Solve for x
    x = 304,859,683,881/256,349
  6. Step 6: Final answer
    x = 1,189,236.88

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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.