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Finding the Third Proportional to 297,687 and 640,302

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Solution

The third proportional to 297,687 and 640,302 is: 1,377,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,687 : 640,302 = 640,302 : x
  2. Step 2: Convert to fraction form
    297,687/640,302 = 640,302/x
  3. Step 3: Cross multiply
    297,687x = 640,302 × 640,302
  4. Step 4: Simplify right side
    297,687x = 409,986,651,204
  5. Step 5: Solve for x
    x = 409,986,651,204/297,687
  6. Step 6: Final answer
    x = 1,377,240.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.