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Finding the Third Proportional to 316,540.41 and 644,790.38

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Solution

The third proportional to 316,540.41 and 644,790.38 is: 1,313,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,540.41 : 644,790.38 = 644,790.38 : x
  2. Step 2: Convert to fraction form
    316,540.41/644,790.38 = 644,790.38/x
  3. Step 3: Cross multiply
    316,540.41x = 644,790.38 × 644,790.38
  4. Step 4: Simplify right side
    316,540.41x = 415,754,627,692.64
  5. Step 5: Solve for x
    x = 415,754,627,692.64/316,540.41
  6. Step 6: Final answer
    x = 1,313,433.04

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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.