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Finding the Third Proportional to 90,410.50 and 133,773

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Solution

The third proportional to 90,410.50 and 133,773 is: 197,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,410.50 : 133,773 = 133,773 : x
  2. Step 2: Convert to fraction form
    90,410.50/133,773 = 133,773/x
  3. Step 3: Cross multiply
    90,410.50x = 133,773 × 133,773
  4. Step 4: Simplify right side
    90,410.50x = 17,895,215,529
  5. Step 5: Solve for x
    x = 17,895,215,529/90,410.50
  6. Step 6: Final answer
    x = 197,932.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.