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Finding the Third Proportional to 259,766 and 559,660

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Solution

The third proportional to 259,766 and 559,660 is: 1,205,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,766 : 559,660 = 559,660 : x
  2. Step 2: Convert to fraction form
    259,766/559,660 = 559,660/x
  3. Step 3: Cross multiply
    259,766x = 559,660 × 559,660
  4. Step 4: Simplify right side
    259,766x = 313,219,315,600
  5. Step 5: Solve for x
    x = 313,219,315,600/259,766
  6. Step 6: Final answer
    x = 1,205,774.87

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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.