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Finding the Third Proportional to 345,834 and 529,245

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Solution

The third proportional to 345,834 and 529,245 is: 809,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,834 : 529,245 = 529,245 : x
  2. Step 2: Convert to fraction form
    345,834/529,245 = 529,245/x
  3. Step 3: Cross multiply
    345,834x = 529,245 × 529,245
  4. Step 4: Simplify right side
    345,834x = 280,100,270,025
  5. Step 5: Solve for x
    x = 280,100,270,025/345,834
  6. Step 6: Final answer
    x = 809,926.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.