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Finding the Third Proportional to 81,552 and 114,844.50

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Solution

The third proportional to 81,552 and 114,844.50 is: 161,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,552 : 114,844.50 = 114,844.50 : x
  2. Step 2: Convert to fraction form
    81,552/114,844.50 = 114,844.50/x
  3. Step 3: Cross multiply
    81,552x = 114,844.50 × 114,844.50
  4. Step 4: Simplify right side
    81,552x = 13,189,259,180.25
  5. Step 5: Solve for x
    x = 13,189,259,180.25/81,552
  6. Step 6: Final answer
    x = 161,728.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.