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Finding the Third Proportional to 338,590 and 722,180

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Solution

The third proportional to 338,590 and 722,180 is: 1,540,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,590 : 722,180 = 722,180 : x
  2. Step 2: Convert to fraction form
    338,590/722,180 = 722,180/x
  3. Step 3: Cross multiply
    338,590x = 722,180 × 722,180
  4. Step 4: Simplify right side
    338,590x = 521,543,952,400
  5. Step 5: Solve for x
    x = 521,543,952,400/338,590
  6. Step 6: Final answer
    x = 1,540,340.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.