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Finding the Third Proportional to 338,280 and 743,520

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Solution

The third proportional to 338,280 and 743,520 is: 1,634,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,280 : 743,520 = 743,520 : x
  2. Step 2: Convert to fraction form
    338,280/743,520 = 743,520/x
  3. Step 3: Cross multiply
    338,280x = 743,520 × 743,520
  4. Step 4: Simplify right side
    338,280x = 552,821,990,400
  5. Step 5: Solve for x
    x = 552,821,990,400/338,280
  6. Step 6: Final answer
    x = 1,634,214.23

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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.