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Finding the Third Proportional to 32,927.25 and 71,119.50

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Solution

The third proportional to 32,927.25 and 71,119.50 is: 153,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927.25 : 71,119.50 = 71,119.50 : x
  2. Step 2: Convert to fraction form
    32,927.25/71,119.50 = 71,119.50/x
  3. Step 3: Cross multiply
    32,927.25x = 71,119.50 × 71,119.50
  4. Step 4: Simplify right side
    32,927.25x = 5,057,983,280.25
  5. Step 5: Solve for x
    x = 5,057,983,280.25/32,927.25
  6. Step 6: Final answer
    x = 153,610.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.