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Finding the Third Proportional to 290,812 and 627,452

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Solution

The third proportional to 290,812 and 627,452 is: 1,353,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,812 : 627,452 = 627,452 : x
  2. Step 2: Convert to fraction form
    290,812/627,452 = 627,452/x
  3. Step 3: Cross multiply
    290,812x = 627,452 × 627,452
  4. Step 4: Simplify right side
    290,812x = 393,696,012,304
  5. Step 5: Solve for x
    x = 393,696,012,304/290,812
  6. Step 6: Final answer
    x = 1,353,781.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.