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Finding the Third Proportional to 338,660 and 464,396

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Solution

The third proportional to 338,660 and 464,396 is: 636,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,660 : 464,396 = 464,396 : x
  2. Step 2: Convert to fraction form
    338,660/464,396 = 464,396/x
  3. Step 3: Cross multiply
    338,660x = 464,396 × 464,396
  4. Step 4: Simplify right side
    338,660x = 215,663,644,816
  5. Step 5: Solve for x
    x = 215,663,644,816/338,660
  6. Step 6: Final answer
    x = 636,814.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.