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Finding the Third Proportional to 409,878 and 627,255

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Solution

The third proportional to 409,878 and 627,255 is: 959,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,878 : 627,255 = 627,255 : x
  2. Step 2: Convert to fraction form
    409,878/627,255 = 627,255/x
  3. Step 3: Cross multiply
    409,878x = 627,255 × 627,255
  4. Step 4: Simplify right side
    409,878x = 393,448,835,025
  5. Step 5: Solve for x
    x = 393,448,835,025/409,878
  6. Step 6: Final answer
    x = 959,916.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.