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Finding the Third Proportional to 291,424 and 627,134

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Solution

The third proportional to 291,424 and 627,134 is: 1,349,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,424 : 627,134 = 627,134 : x
  2. Step 2: Convert to fraction form
    291,424/627,134 = 627,134/x
  3. Step 3: Cross multiply
    291,424x = 627,134 × 627,134
  4. Step 4: Simplify right side
    291,424x = 393,297,053,956
  5. Step 5: Solve for x
    x = 393,297,053,956/291,424
  6. Step 6: Final answer
    x = 1,349,569.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.