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Finding the Third Proportional to 94,046.50 and 144,022

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Solution

The third proportional to 94,046.50 and 144,022 is: 220,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,046.50 : 144,022 = 144,022 : x
  2. Step 2: Convert to fraction form
    94,046.50/144,022 = 144,022/x
  3. Step 3: Cross multiply
    94,046.50x = 144,022 × 144,022
  4. Step 4: Simplify right side
    94,046.50x = 20,742,336,484
  5. Step 5: Solve for x
    x = 20,742,336,484/94,046.50
  6. Step 6: Final answer
    x = 220,554.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.