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Finding the Third Proportional to 295,758 and 641,338

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Solution

The third proportional to 295,758 and 641,338 is: 1,390,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,758 : 641,338 = 641,338 : x
  2. Step 2: Convert to fraction form
    295,758/641,338 = 641,338/x
  3. Step 3: Cross multiply
    295,758x = 641,338 × 641,338
  4. Step 4: Simplify right side
    295,758x = 411,314,430,244
  5. Step 5: Solve for x
    x = 411,314,430,244/295,758
  6. Step 6: Final answer
    x = 1,390,712.78

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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.