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Finding the Third Proportional to 262,493 and 407,226

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Solution

The third proportional to 262,493 and 407,226 is: 631,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,493 : 407,226 = 407,226 : x
  2. Step 2: Convert to fraction form
    262,493/407,226 = 407,226/x
  3. Step 3: Cross multiply
    262,493x = 407,226 × 407,226
  4. Step 4: Simplify right side
    262,493x = 165,833,015,076
  5. Step 5: Solve for x
    x = 165,833,015,076/262,493
  6. Step 6: Final answer
    x = 631,761.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.