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Finding the Third Proportional to 316,441.69 and 644,633.44

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Solution

The third proportional to 316,441.69 and 644,633.44 is: 1,313,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,441.69 : 644,633.44 = 644,633.44 : x
  2. Step 2: Convert to fraction form
    316,441.69/644,633.44 = 644,633.44/x
  3. Step 3: Cross multiply
    316,441.69x = 644,633.44 × 644,633.44
  4. Step 4: Simplify right side
    316,441.69x = 415,552,268,743.07
  5. Step 5: Solve for x
    x = 415,552,268,743.07/316,441.69
  6. Step 6: Final answer
    x = 1,313,203.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.