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Finding the Third Proportional to 515,940 and 743,145

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Solution

The third proportional to 515,940 and 743,145 is: 1,070,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940 : 743,145 = 743,145 : x
  2. Step 2: Convert to fraction form
    515,940/743,145 = 743,145/x
  3. Step 3: Cross multiply
    515,940x = 743,145 × 743,145
  4. Step 4: Simplify right side
    515,940x = 552,264,491,025
  5. Step 5: Solve for x
    x = 552,264,491,025/515,940
  6. Step 6: Final answer
    x = 1,070,404.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.