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Finding the Third Proportional to 343,608 and 520,165

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Solution

The third proportional to 343,608 and 520,165 is: 787,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,608 : 520,165 = 520,165 : x
  2. Step 2: Convert to fraction form
    343,608/520,165 = 520,165/x
  3. Step 3: Cross multiply
    343,608x = 520,165 × 520,165
  4. Step 4: Simplify right side
    343,608x = 270,571,627,225
  5. Step 5: Solve for x
    x = 270,571,627,225/343,608
  6. Step 6: Final answer
    x = 787,442.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.