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Finding the Third Proportional to 81,365.50 and 118,315.50

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Solution

The third proportional to 81,365.50 and 118,315.50 is: 172,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365.50 : 118,315.50 = 118,315.50 : x
  2. Step 2: Convert to fraction form
    81,365.50/118,315.50 = 118,315.50/x
  3. Step 3: Cross multiply
    81,365.50x = 118,315.50 × 118,315.50
  4. Step 4: Simplify right side
    81,365.50x = 13,998,557,540.25
  5. Step 5: Solve for x
    x = 13,998,557,540.25/81,365.50
  6. Step 6: Final answer
    x = 172,045.37

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.