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Finding the Third Proportional to 338,662 and 464,399

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Solution

The third proportional to 338,662 and 464,399 is: 636,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,662 : 464,399 = 464,399 : x
  2. Step 2: Convert to fraction form
    338,662/464,399 = 464,399/x
  3. Step 3: Cross multiply
    338,662x = 464,399 × 464,399
  4. Step 4: Simplify right side
    338,662x = 215,666,431,201
  5. Step 5: Solve for x
    x = 215,666,431,201/338,662
  6. Step 6: Final answer
    x = 636,819.10

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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.