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Finding the Third Proportional to 338,454 and 743,330

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Solution

The third proportional to 338,454 and 743,330 is: 1,632,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,454 : 743,330 = 743,330 : x
  2. Step 2: Convert to fraction form
    338,454/743,330 = 743,330/x
  3. Step 3: Cross multiply
    338,454x = 743,330 × 743,330
  4. Step 4: Simplify right side
    338,454x = 552,539,488,900
  5. Step 5: Solve for x
    x = 552,539,488,900/338,454
  6. Step 6: Final answer
    x = 1,632,539.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.