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Finding the Third Proportional to 81,465 and 122,718.75

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Solution

The third proportional to 81,465 and 122,718.75 is: 184,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465 : 122,718.75 = 122,718.75 : x
  2. Step 2: Convert to fraction form
    81,465/122,718.75 = 122,718.75/x
  3. Step 3: Cross multiply
    81,465x = 122,718.75 × 122,718.75
  4. Step 4: Simplify right side
    81,465x = 15,059,891,601.56
  5. Step 5: Solve for x
    x = 15,059,891,601.56/81,465
  6. Step 6: Final answer
    x = 184,863.34

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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.