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Finding the Third Proportional to 256,562 and 561,400

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Solution

The third proportional to 256,562 and 561,400 is: 1,228,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,562 : 561,400 = 561,400 : x
  2. Step 2: Convert to fraction form
    256,562/561,400 = 561,400/x
  3. Step 3: Cross multiply
    256,562x = 561,400 × 561,400
  4. Step 4: Simplify right side
    256,562x = 315,169,960,000
  5. Step 5: Solve for x
    x = 315,169,960,000/256,562
  6. Step 6: Final answer
    x = 1,228,435.86

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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.