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Finding the Third Proportional to 90,196.50 and 140,205

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Solution

The third proportional to 90,196.50 and 140,205 is: 217,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,196.50 : 140,205 = 140,205 : x
  2. Step 2: Convert to fraction form
    90,196.50/140,205 = 140,205/x
  3. Step 3: Cross multiply
    90,196.50x = 140,205 × 140,205
  4. Step 4: Simplify right side
    90,196.50x = 19,657,442,025
  5. Step 5: Solve for x
    x = 19,657,442,025/90,196.50
  6. Step 6: Final answer
    x = 217,940.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.