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Finding the Third Proportional to 293,690 and 641,306

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Solution

The third proportional to 293,690 and 641,306 is: 1,400,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,690 : 641,306 = 641,306 : x
  2. Step 2: Convert to fraction form
    293,690/641,306 = 641,306/x
  3. Step 3: Cross multiply
    293,690x = 641,306 × 641,306
  4. Step 4: Simplify right side
    293,690x = 411,273,385,636
  5. Step 5: Solve for x
    x = 411,273,385,636/293,690
  6. Step 6: Final answer
    x = 1,400,365.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.