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Finding the Third Proportional to 54,858.75 and 81,929.25

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Solution

The third proportional to 54,858.75 and 81,929.25 is: 122,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,858.75 : 81,929.25 = 81,929.25 : x
  2. Step 2: Convert to fraction form
    54,858.75/81,929.25 = 81,929.25/x
  3. Step 3: Cross multiply
    54,858.75x = 81,929.25 × 81,929.25
  4. Step 4: Simplify right side
    54,858.75x = 6,712,402,005.56
  5. Step 5: Solve for x
    x = 6,712,402,005.56/54,858.75
  6. Step 6: Final answer
    x = 122,357.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.