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Finding the Third Proportional to 256,258 and 560,782

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Solution

The third proportional to 256,258 and 560,782 is: 1,227,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,258 : 560,782 = 560,782 : x
  2. Step 2: Convert to fraction form
    256,258/560,782 = 560,782/x
  3. Step 3: Cross multiply
    256,258x = 560,782 × 560,782
  4. Step 4: Simplify right side
    256,258x = 314,476,451,524
  5. Step 5: Solve for x
    x = 314,476,451,524/256,258
  6. Step 6: Final answer
    x = 1,227,186.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.