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Finding the Third Proportional to 291,822 and 627,234

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Solution

The third proportional to 291,822 and 627,234 is: 1,348,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,822 : 627,234 = 627,234 : x
  2. Step 2: Convert to fraction form
    291,822/627,234 = 627,234/x
  3. Step 3: Cross multiply
    291,822x = 627,234 × 627,234
  4. Step 4: Simplify right side
    291,822x = 393,422,490,756
  5. Step 5: Solve for x
    x = 393,422,490,756/291,822
  6. Step 6: Final answer
    x = 1,348,159.12

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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.