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Finding the Third Proportional to 291,916 and 629,408

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Solution

The third proportional to 291,916 and 629,408 is: 1,357,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,916 : 629,408 = 629,408 : x
  2. Step 2: Convert to fraction form
    291,916/629,408 = 629,408/x
  3. Step 3: Cross multiply
    291,916x = 629,408 × 629,408
  4. Step 4: Simplify right side
    291,916x = 396,154,430,464
  5. Step 5: Solve for x
    x = 396,154,430,464/291,916
  6. Step 6: Final answer
    x = 1,357,083.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.