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Finding the Third Proportional to 342,367 and 763,411

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Solution

The third proportional to 342,367 and 763,411 is: 1,702,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,367 : 763,411 = 763,411 : x
  2. Step 2: Convert to fraction form
    342,367/763,411 = 763,411/x
  3. Step 3: Cross multiply
    342,367x = 763,411 × 763,411
  4. Step 4: Simplify right side
    342,367x = 582,796,354,921
  5. Step 5: Solve for x
    x = 582,796,354,921/342,367
  6. Step 6: Final answer
    x = 1,702,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.