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Finding the Third Proportional to 256,781.75 and 572,573.50

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Solution

The third proportional to 256,781.75 and 572,573.50 is: 1,276,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,781.75 : 572,573.50 = 572,573.50 : x
  2. Step 2: Convert to fraction form
    256,781.75/572,573.50 = 572,573.50/x
  3. Step 3: Cross multiply
    256,781.75x = 572,573.50 × 572,573.50
  4. Step 4: Simplify right side
    256,781.75x = 327,840,412,902.25
  5. Step 5: Solve for x
    x = 327,840,412,902.25/256,781.75
  6. Step 6: Final answer
    x = 1,276,727.86

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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.