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Finding the Third Proportional to 392,463 and 847,659.75

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Solution

The third proportional to 392,463 and 847,659.75 is: 1,830,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,463 : 847,659.75 = 847,659.75 : x
  2. Step 2: Convert to fraction form
    392,463/847,659.75 = 847,659.75/x
  3. Step 3: Cross multiply
    392,463x = 847,659.75 × 847,659.75
  4. Step 4: Simplify right side
    392,463x = 718,527,051,770.06
  5. Step 5: Solve for x
    x = 718,527,051,770.06/392,463
  6. Step 6: Final answer
    x = 1,830,814.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.