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Finding the Third Proportional to 297,231 and 644,248

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Solution

The third proportional to 297,231 and 644,248 is: 1,396,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,231 : 644,248 = 644,248 : x
  2. Step 2: Convert to fraction form
    297,231/644,248 = 644,248/x
  3. Step 3: Cross multiply
    297,231x = 644,248 × 644,248
  4. Step 4: Simplify right side
    297,231x = 415,055,485,504
  5. Step 5: Solve for x
    x = 415,055,485,504/297,231
  6. Step 6: Final answer
    x = 1,396,407.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.