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Finding the Third Proportional to 338,508 and 705,370

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Solution

The third proportional to 338,508 and 705,370 is: 1,469,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,508 : 705,370 = 705,370 : x
  2. Step 2: Convert to fraction form
    338,508/705,370 = 705,370/x
  3. Step 3: Cross multiply
    338,508x = 705,370 × 705,370
  4. Step 4: Simplify right side
    338,508x = 497,546,836,900
  5. Step 5: Solve for x
    x = 497,546,836,900/338,508
  6. Step 6: Final answer
    x = 1,469,822.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.