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Finding the Third Proportional to 127,327.50 and 192,222

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Solution

The third proportional to 127,327.50 and 192,222 is: 290,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,327.50 : 192,222 = 192,222 : x
  2. Step 2: Convert to fraction form
    127,327.50/192,222 = 192,222/x
  3. Step 3: Cross multiply
    127,327.50x = 192,222 × 192,222
  4. Step 4: Simplify right side
    127,327.50x = 36,949,297,284
  5. Step 5: Solve for x
    x = 36,949,297,284/127,327.50
  6. Step 6: Final answer
    x = 290,191.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.