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Finding the Third Proportional to 171,908 and 262,803

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Solution

The third proportional to 171,908 and 262,803 is: 401,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,908 : 262,803 = 262,803 : x
  2. Step 2: Convert to fraction form
    171,908/262,803 = 262,803/x
  3. Step 3: Cross multiply
    171,908x = 262,803 × 262,803
  4. Step 4: Simplify right side
    171,908x = 69,065,416,809
  5. Step 5: Solve for x
    x = 69,065,416,809/171,908
  6. Step 6: Final answer
    x = 401,758.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.