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Finding the Third Proportional to 262,450.13 and 407,161.69

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Solution

The third proportional to 262,450.13 and 407,161.69 is: 631,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.13 : 407,161.69 = 407,161.69 : x
  2. Step 2: Convert to fraction form
    262,450.13/407,161.69 = 407,161.69/x
  3. Step 3: Cross multiply
    262,450.13x = 407,161.69 × 407,161.69
  4. Step 4: Simplify right side
    262,450.13x = 165,780,639,767.85
  5. Step 5: Solve for x
    x = 165,780,639,767.85/262,450.13
  6. Step 6: Final answer
    x = 631,665.31

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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.