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Finding the Third Proportional to 291,342.94 and 636,722.44

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Solution

The third proportional to 291,342.94 and 636,722.44 is: 1,391,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,342.94 : 636,722.44 = 636,722.44 : x
  2. Step 2: Convert to fraction form
    291,342.94/636,722.44 = 636,722.44/x
  3. Step 3: Cross multiply
    291,342.94x = 636,722.44 × 636,722.44
  4. Step 4: Simplify right side
    291,342.94x = 405,415,462,415.94
  5. Step 5: Solve for x
    x = 405,415,462,415.94/291,342.94
  6. Step 6: Final answer
    x = 1,391,540.38

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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.