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Finding the Third Proportional to 135,452 and 290,344

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Solution

The third proportional to 135,452 and 290,344 is: 622,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,452 : 290,344 = 290,344 : x
  2. Step 2: Convert to fraction form
    135,452/290,344 = 290,344/x
  3. Step 3: Cross multiply
    135,452x = 290,344 × 290,344
  4. Step 4: Simplify right side
    135,452x = 84,299,638,336
  5. Step 5: Solve for x
    x = 84,299,638,336/135,452
  6. Step 6: Final answer
    x = 622,358.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.