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Finding the Third Proportional to 290,612 and 627,097

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Solution

The third proportional to 290,612 and 627,097 is: 1,353,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,612 : 627,097 = 627,097 : x
  2. Step 2: Convert to fraction form
    290,612/627,097 = 627,097/x
  3. Step 3: Cross multiply
    290,612x = 627,097 × 627,097
  4. Step 4: Simplify right side
    290,612x = 393,250,647,409
  5. Step 5: Solve for x
    x = 393,250,647,409/290,612
  6. Step 6: Final answer
    x = 1,353,181.04

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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.