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Finding the Third Proportional to 81,664.88 and 122,973.19

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Solution

The third proportional to 81,664.88 and 122,973.19 is: 185,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664.88 : 122,973.19 = 122,973.19 : x
  2. Step 2: Convert to fraction form
    81,664.88/122,973.19 = 122,973.19/x
  3. Step 3: Cross multiply
    81,664.88x = 122,973.19 × 122,973.19
  4. Step 4: Simplify right side
    81,664.88x = 15,122,404,843.91
  5. Step 5: Solve for x
    x = 15,122,404,843.91/81,664.88
  6. Step 6: Final answer
    x = 185,176.37

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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.