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Finding the Third Proportional to 256,722.75 and 572,474.25

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Solution

The third proportional to 256,722.75 and 572,474.25 is: 1,276,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.75 : 572,474.25 = 572,474.25 : x
  2. Step 2: Convert to fraction form
    256,722.75/572,474.25 = 572,474.25/x
  3. Step 3: Cross multiply
    256,722.75x = 572,474.25 × 572,474.25
  4. Step 4: Simplify right side
    256,722.75x = 327,726,766,913.06
  5. Step 5: Solve for x
    x = 327,726,766,913.06/256,722.75
  6. Step 6: Final answer
    x = 1,276,578.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.