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Finding the Third Proportional to 262,476 and 407,199

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Solution

The third proportional to 262,476 and 407,199 is: 631,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,476 : 407,199 = 407,199 : x
  2. Step 2: Convert to fraction form
    262,476/407,199 = 407,199/x
  3. Step 3: Cross multiply
    262,476x = 407,199 × 407,199
  4. Step 4: Simplify right side
    262,476x = 165,811,025,601
  5. Step 5: Solve for x
    x = 165,811,025,601/262,476
  6. Step 6: Final answer
    x = 631,718.81

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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.