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Finding the Third Proportional to 256,644 and 529,551

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Solution

The third proportional to 256,644 and 529,551 is: 1,092,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,644 : 529,551 = 529,551 : x
  2. Step 2: Convert to fraction form
    256,644/529,551 = 529,551/x
  3. Step 3: Cross multiply
    256,644x = 529,551 × 529,551
  4. Step 4: Simplify right side
    256,644x = 280,424,261,601
  5. Step 5: Solve for x
    x = 280,424,261,601/256,644
  6. Step 6: Final answer
    x = 1,092,658.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.