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Finding the Third Proportional to 61,224.50 and 94,566.75

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Solution

The third proportional to 61,224.50 and 94,566.75 is: 146,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224.50 : 94,566.75 = 94,566.75 : x
  2. Step 2: Convert to fraction form
    61,224.50/94,566.75 = 94,566.75/x
  3. Step 3: Cross multiply
    61,224.50x = 94,566.75 × 94,566.75
  4. Step 4: Simplify right side
    61,224.50x = 8,942,870,205.56
  5. Step 5: Solve for x
    x = 8,942,870,205.56/61,224.50
  6. Step 6: Final answer
    x = 146,066.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.