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Finding the Third Proportional to 256,426 and 561,110

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Solution

The third proportional to 256,426 and 561,110 is: 1,227,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,426 : 561,110 = 561,110 : x
  2. Step 2: Convert to fraction form
    256,426/561,110 = 561,110/x
  3. Step 3: Cross multiply
    256,426x = 561,110 × 561,110
  4. Step 4: Simplify right side
    256,426x = 314,844,432,100
  5. Step 5: Solve for x
    x = 314,844,432,100/256,426
  6. Step 6: Final answer
    x = 1,227,817.90

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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.