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Finding the Third Proportional to 290,405.25 and 636,905.53

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Solution

The third proportional to 290,405.25 and 636,905.53 is: 1,396,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,405.25 : 636,905.53 = 636,905.53 : x
  2. Step 2: Convert to fraction form
    290,405.25/636,905.53 = 636,905.53/x
  3. Step 3: Cross multiply
    290,405.25x = 636,905.53 × 636,905.53
  4. Step 4: Simplify right side
    290,405.25x = 405,648,655,736.85
  5. Step 5: Solve for x
    x = 405,648,655,736.85/290,405.25
  6. Step 6: Final answer
    x = 1,396,836.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.