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Finding the Third Proportional to 81,040 and 122,088

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Solution

The third proportional to 81,040 and 122,088 is: 183,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,040 : 122,088 = 122,088 : x
  2. Step 2: Convert to fraction form
    81,040/122,088 = 122,088/x
  3. Step 3: Cross multiply
    81,040x = 122,088 × 122,088
  4. Step 4: Simplify right side
    81,040x = 14,905,479,744
  5. Step 5: Solve for x
    x = 14,905,479,744/81,040
  6. Step 6: Final answer
    x = 183,927.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.