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Finding the Third Proportional to 297,588 and 661,392

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Solution

The third proportional to 297,588 and 661,392 is: 1,469,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,588 : 661,392 = 661,392 : x
  2. Step 2: Convert to fraction form
    297,588/661,392 = 661,392/x
  3. Step 3: Cross multiply
    297,588x = 661,392 × 661,392
  4. Step 4: Simplify right side
    297,588x = 437,439,377,664
  5. Step 5: Solve for x
    x = 437,439,377,664/297,588
  6. Step 6: Final answer
    x = 1,469,949.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.