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Finding the Third Proportional to 85,359 and 122,954

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Solution

The third proportional to 85,359 and 122,954 is: 177,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,359 : 122,954 = 122,954 : x
  2. Step 2: Convert to fraction form
    85,359/122,954 = 122,954/x
  3. Step 3: Cross multiply
    85,359x = 122,954 × 122,954
  4. Step 4: Simplify right side
    85,359x = 15,117,686,116
  5. Step 5: Solve for x
    x = 15,117,686,116/85,359
  6. Step 6: Final answer
    x = 177,107.11

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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.