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Finding the Third Proportional to 81,120 and 122,784

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Solution

The third proportional to 81,120 and 122,784 is: 185,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,120 : 122,784 = 122,784 : x
  2. Step 2: Convert to fraction form
    81,120/122,784 = 122,784/x
  3. Step 3: Cross multiply
    81,120x = 122,784 × 122,784
  4. Step 4: Simplify right side
    81,120x = 15,075,910,656
  5. Step 5: Solve for x
    x = 15,075,910,656/81,120
  6. Step 6: Final answer
    x = 185,847.02

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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.