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Finding the Third Proportional to 85,621 and 122,923

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Solution

The third proportional to 85,621 and 122,923 is: 176,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,621 : 122,923 = 122,923 : x
  2. Step 2: Convert to fraction form
    85,621/122,923 = 122,923/x
  3. Step 3: Cross multiply
    85,621x = 122,923 × 122,923
  4. Step 4: Simplify right side
    85,621x = 15,110,063,929
  5. Step 5: Solve for x
    x = 15,110,063,929/85,621
  6. Step 6: Final answer
    x = 176,476.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.