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Finding the Third Proportional to 32,867 and 53,398.50

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Solution

The third proportional to 32,867 and 53,398.50 is: 86,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867 : 53,398.50 = 53,398.50 : x
  2. Step 2: Convert to fraction form
    32,867/53,398.50 = 53,398.50/x
  3. Step 3: Cross multiply
    32,867x = 53,398.50 × 53,398.50
  4. Step 4: Simplify right side
    32,867x = 2,851,399,802.25
  5. Step 5: Solve for x
    x = 2,851,399,802.25/32,867
  6. Step 6: Final answer
    x = 86,755.71

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.