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Finding the Third Proportional to 89,102.25 and 139,486.50

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Solution

The third proportional to 89,102.25 and 139,486.50 is: 218,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102.25 : 139,486.50 = 139,486.50 : x
  2. Step 2: Convert to fraction form
    89,102.25/139,486.50 = 139,486.50/x
  3. Step 3: Cross multiply
    89,102.25x = 139,486.50 × 139,486.50
  4. Step 4: Simplify right side
    89,102.25x = 19,456,483,682.25
  5. Step 5: Solve for x
    x = 19,456,483,682.25/89,102.25
  6. Step 6: Final answer
    x = 218,361.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.