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Finding the Third Proportional to 84,600 and 122,901.75

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Solution

The third proportional to 84,600 and 122,901.75 is: 178,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600 : 122,901.75 = 122,901.75 : x
  2. Step 2: Convert to fraction form
    84,600/122,901.75 = 122,901.75/x
  3. Step 3: Cross multiply
    84,600x = 122,901.75 × 122,901.75
  4. Step 4: Simplify right side
    84,600x = 15,104,840,153.06
  5. Step 5: Solve for x
    x = 15,104,840,153.06/84,600
  6. Step 6: Final answer
    x = 178,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.