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Finding the Third Proportional to 256,749.75 and 521,275.50

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Solution

The third proportional to 256,749.75 and 521,275.50 is: 1,058,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,749.75 : 521,275.50 = 521,275.50 : x
  2. Step 2: Convert to fraction form
    256,749.75/521,275.50 = 521,275.50/x
  3. Step 3: Cross multiply
    256,749.75x = 521,275.50 × 521,275.50
  4. Step 4: Simplify right side
    256,749.75x = 271,728,146,900.25
  5. Step 5: Solve for x
    x = 271,728,146,900.25/256,749.75
  6. Step 6: Final answer
    x = 1,058,338.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.