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Finding the Third Proportional to 94,365 and 144,832.50

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Solution

The third proportional to 94,365 and 144,832.50 is: 222,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,365 : 144,832.50 = 144,832.50 : x
  2. Step 2: Convert to fraction form
    94,365/144,832.50 = 144,832.50/x
  3. Step 3: Cross multiply
    94,365x = 144,832.50 × 144,832.50
  4. Step 4: Simplify right side
    94,365x = 20,976,453,056.25
  5. Step 5: Solve for x
    x = 20,976,453,056.25/94,365
  6. Step 6: Final answer
    x = 222,290.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.