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Finding the Third Proportional to 34,737.19 and 74,833.03

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Solution

The third proportional to 34,737.19 and 74,833.03 is: 161,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.19 : 74,833.03 = 74,833.03 : x
  2. Step 2: Convert to fraction form
    34,737.19/74,833.03 = 74,833.03/x
  3. Step 3: Cross multiply
    34,737.19x = 74,833.03 × 74,833.03
  4. Step 4: Simplify right side
    34,737.19x = 5,599,982,566.06
  5. Step 5: Solve for x
    x = 5,599,982,566.06/34,737.19
  6. Step 6: Final answer
    x = 161,210.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.