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Finding the Third Proportional to 342,225 and 706,131

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Solution

The third proportional to 342,225 and 706,131 is: 1,456,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,225 : 706,131 = 706,131 : x
  2. Step 2: Convert to fraction form
    342,225/706,131 = 706,131/x
  3. Step 3: Cross multiply
    342,225x = 706,131 × 706,131
  4. Step 4: Simplify right side
    342,225x = 498,620,989,161
  5. Step 5: Solve for x
    x = 498,620,989,161/342,225
  6. Step 6: Final answer
    x = 1,456,997.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.