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Finding the Third Proportional to 291,958 and 627,564

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Solution

The third proportional to 291,958 and 627,564 is: 1,348,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,958 : 627,564 = 627,564 : x
  2. Step 2: Convert to fraction form
    291,958/627,564 = 627,564/x
  3. Step 3: Cross multiply
    291,958x = 627,564 × 627,564
  4. Step 4: Simplify right side
    291,958x = 393,836,574,096
  5. Step 5: Solve for x
    x = 393,836,574,096/291,958
  6. Step 6: Final answer
    x = 1,348,949.42

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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.