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Finding the Third Proportional to 256,626 and 559,836

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Solution

The third proportional to 256,626 and 559,836 is: 1,221,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,626 : 559,836 = 559,836 : x
  2. Step 2: Convert to fraction form
    256,626/559,836 = 559,836/x
  3. Step 3: Cross multiply
    256,626x = 559,836 × 559,836
  4. Step 4: Simplify right side
    256,626x = 313,416,346,896
  5. Step 5: Solve for x
    x = 313,416,346,896/256,626
  6. Step 6: Final answer
    x = 1,221,296.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.