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Finding the Third Proportional to 291,812 and 627,215

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Solution

The third proportional to 291,812 and 627,215 is: 1,348,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,812 : 627,215 = 627,215 : x
  2. Step 2: Convert to fraction form
    291,812/627,215 = 627,215/x
  3. Step 3: Cross multiply
    291,812x = 627,215 × 627,215
  4. Step 4: Simplify right side
    291,812x = 393,398,656,225
  5. Step 5: Solve for x
    x = 393,398,656,225/291,812
  6. Step 6: Final answer
    x = 1,348,123.64

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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.