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Finding the Third Proportional to 256,344 and 552,132

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Solution

The third proportional to 256,344 and 552,132 is: 1,189,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344 : 552,132 = 552,132 : x
  2. Step 2: Convert to fraction form
    256,344/552,132 = 552,132/x
  3. Step 3: Cross multiply
    256,344x = 552,132 × 552,132
  4. Step 4: Simplify right side
    256,344x = 304,849,745,424
  5. Step 5: Solve for x
    x = 304,849,745,424/256,344
  6. Step 6: Final answer
    x = 1,189,221.30

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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.