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Finding the Third Proportional to 54,045 and 86,338.50

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Solution

The third proportional to 54,045 and 86,338.50 is: 137,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,045 : 86,338.50 = 86,338.50 : x
  2. Step 2: Convert to fraction form
    54,045/86,338.50 = 86,338.50/x
  3. Step 3: Cross multiply
    54,045x = 86,338.50 × 86,338.50
  4. Step 4: Simplify right side
    54,045x = 7,454,336,582.25
  5. Step 5: Solve for x
    x = 7,454,336,582.25/54,045
  6. Step 6: Final answer
    x = 137,928.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.