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Finding the Third Proportional to 297,230 and 644,246

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Solution

The third proportional to 297,230 and 644,246 is: 1,396,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,230 : 644,246 = 644,246 : x
  2. Step 2: Convert to fraction form
    297,230/644,246 = 644,246/x
  3. Step 3: Cross multiply
    297,230x = 644,246 × 644,246
  4. Step 4: Simplify right side
    297,230x = 415,052,908,516
  5. Step 5: Solve for x
    x = 415,052,908,516/297,230
  6. Step 6: Final answer
    x = 1,396,403.15

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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.