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Finding the Third Proportional to 188,122 and 291,408

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Solution

The third proportional to 188,122 and 291,408 is: 451,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,122 : 291,408 = 291,408 : x
  2. Step 2: Convert to fraction form
    188,122/291,408 = 291,408/x
  3. Step 3: Cross multiply
    188,122x = 291,408 × 291,408
  4. Step 4: Simplify right side
    188,122x = 84,918,622,464
  5. Step 5: Solve for x
    x = 84,918,622,464/188,122
  6. Step 6: Final answer
    x = 451,401.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.