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Finding the Third Proportional to 135,448 and 290,336

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Solution

The third proportional to 135,448 and 290,336 is: 622,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,448 : 290,336 = 290,336 : x
  2. Step 2: Convert to fraction form
    135,448/290,336 = 290,336/x
  3. Step 3: Cross multiply
    135,448x = 290,336 × 290,336
  4. Step 4: Simplify right side
    135,448x = 84,294,992,896
  5. Step 5: Solve for x
    x = 84,294,992,896/135,448
  6. Step 6: Final answer
    x = 622,342.10

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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.