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Finding the Third Proportional to 32,914.88 and 72,080.25

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Solution

The third proportional to 32,914.88 and 72,080.25 is: 157,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.88 : 72,080.25 = 72,080.25 : x
  2. Step 2: Convert to fraction form
    32,914.88/72,080.25 = 72,080.25/x
  3. Step 3: Cross multiply
    32,914.88x = 72,080.25 × 72,080.25
  4. Step 4: Simplify right side
    32,914.88x = 5,195,562,440.06
  5. Step 5: Solve for x
    x = 5,195,562,440.06/32,914.88
  6. Step 6: Final answer
    x = 157,848.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.