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Finding the Third Proportional to 431,649 and 1,008,207

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Solution

The third proportional to 431,649 and 1,008,207 is: 2,354,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,649 : 1,008,207 = 1,008,207 : x
  2. Step 2: Convert to fraction form
    431,649/1,008,207 = 1,008,207/x
  3. Step 3: Cross multiply
    431,649x = 1,008,207 × 1,008,207
  4. Step 4: Simplify right side
    431,649x = 1,016,481,354,849
  5. Step 5: Solve for x
    x = 1,016,481,354,849/431,649
  6. Step 6: Final answer
    x = 2,354,879.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.