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Finding the Third Proportional to 351,092 and 684,670

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Solution

The third proportional to 351,092 and 684,670 is: 1,335,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,092 : 684,670 = 684,670 : x
  2. Step 2: Convert to fraction form
    351,092/684,670 = 684,670/x
  3. Step 3: Cross multiply
    351,092x = 684,670 × 684,670
  4. Step 4: Simplify right side
    351,092x = 468,773,008,900
  5. Step 5: Solve for x
    x = 468,773,008,900/351,092
  6. Step 6: Final answer
    x = 1,335,185.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.