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Finding the Third Proportional to 256,622 and 559,828

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Solution

The third proportional to 256,622 and 559,828 is: 1,221,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,622 : 559,828 = 559,828 : x
  2. Step 2: Convert to fraction form
    256,622/559,828 = 559,828/x
  3. Step 3: Cross multiply
    256,622x = 559,828 × 559,828
  4. Step 4: Simplify right side
    256,622x = 313,407,389,584
  5. Step 5: Solve for x
    x = 313,407,389,584/256,622
  6. Step 6: Final answer
    x = 1,221,280.29

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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.