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Finding the Third Proportional to 407,223 and 825,390

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Solution

The third proportional to 407,223 and 825,390 is: 1,672,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,223 : 825,390 = 825,390 : x
  2. Step 2: Convert to fraction form
    407,223/825,390 = 825,390/x
  3. Step 3: Cross multiply
    407,223x = 825,390 × 825,390
  4. Step 4: Simplify right side
    407,223x = 681,268,652,100
  5. Step 5: Solve for x
    x = 681,268,652,100/407,223
  6. Step 6: Final answer
    x = 1,672,962.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.