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Finding the Third Proportional to 256,140 and 561,285

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Solution

The third proportional to 256,140 and 561,285 is: 1,229,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,140 : 561,285 = 561,285 : x
  2. Step 2: Convert to fraction form
    256,140/561,285 = 561,285/x
  3. Step 3: Cross multiply
    256,140x = 561,285 × 561,285
  4. Step 4: Simplify right side
    256,140x = 315,040,851,225
  5. Step 5: Solve for x
    x = 315,040,851,225/256,140
  6. Step 6: Final answer
    x = 1,229,955.69

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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.