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Finding the Third Proportional to 259,738 and 414,938

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Solution

The third proportional to 259,738 and 414,938 is: 662,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,738 : 414,938 = 414,938 : x
  2. Step 2: Convert to fraction form
    259,738/414,938 = 414,938/x
  3. Step 3: Cross multiply
    259,738x = 414,938 × 414,938
  4. Step 4: Simplify right side
    259,738x = 172,173,543,844
  5. Step 5: Solve for x
    x = 172,173,543,844/259,738
  6. Step 6: Final answer
    x = 662,873.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.