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Finding the Third Proportional to 256,739 and 572,509

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Solution

The third proportional to 256,739 and 572,509 is: 1,276,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,739 : 572,509 = 572,509 : x
  2. Step 2: Convert to fraction form
    256,739/572,509 = 572,509/x
  3. Step 3: Cross multiply
    256,739x = 572,509 × 572,509
  4. Step 4: Simplify right side
    256,739x = 327,766,555,081
  5. Step 5: Solve for x
    x = 327,766,555,081/256,739
  6. Step 6: Final answer
    x = 1,276,652.77

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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.