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Finding the Third Proportional to 259,772 and 559,672

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Solution

The third proportional to 259,772 and 559,672 is: 1,205,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,772 : 559,672 = 559,672 : x
  2. Step 2: Convert to fraction form
    259,772/559,672 = 559,672/x
  3. Step 3: Cross multiply
    259,772x = 559,672 × 559,672
  4. Step 4: Simplify right side
    259,772x = 313,232,747,584
  5. Step 5: Solve for x
    x = 313,232,747,584/259,772
  6. Step 6: Final answer
    x = 1,205,798.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.