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Finding the Third Proportional to 259,743 and 414,948

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Solution

The third proportional to 259,743 and 414,948 is: 662,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743 : 414,948 = 414,948 : x
  2. Step 2: Convert to fraction form
    259,743/414,948 = 414,948/x
  3. Step 3: Cross multiply
    259,743x = 414,948 × 414,948
  4. Step 4: Simplify right side
    259,743x = 172,181,842,704
  5. Step 5: Solve for x
    x = 172,181,842,704/259,743
  6. Step 6: Final answer
    x = 662,893.10

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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.