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Finding the Third Proportional to 88,142.50 and 193,781

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Solution

The third proportional to 88,142.50 and 193,781 is: 426,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,142.50 : 193,781 = 193,781 : x
  2. Step 2: Convert to fraction form
    88,142.50/193,781 = 193,781/x
  3. Step 3: Cross multiply
    88,142.50x = 193,781 × 193,781
  4. Step 4: Simplify right side
    88,142.50x = 37,551,075,961
  5. Step 5: Solve for x
    x = 37,551,075,961/88,142.50
  6. Step 6: Final answer
    x = 426,026.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.