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Finding the Third Proportional to 290,820 and 627,462

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Solution

The third proportional to 290,820 and 627,462 is: 1,353,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,820 : 627,462 = 627,462 : x
  2. Step 2: Convert to fraction form
    290,820/627,462 = 627,462/x
  3. Step 3: Cross multiply
    290,820x = 627,462 × 627,462
  4. Step 4: Simplify right side
    290,820x = 393,708,561,444
  5. Step 5: Solve for x
    x = 393,708,561,444/290,820
  6. Step 6: Final answer
    x = 1,353,787.78

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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.