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Finding the Third Proportional to 40,222.50 and 86,610

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Solution

The third proportional to 40,222.50 and 86,610 is: 186,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,222.50 : 86,610 = 86,610 : x
  2. Step 2: Convert to fraction form
    40,222.50/86,610 = 86,610/x
  3. Step 3: Cross multiply
    40,222.50x = 86,610 × 86,610
  4. Step 4: Simplify right side
    40,222.50x = 7,501,292,100
  5. Step 5: Solve for x
    x = 7,501,292,100/40,222.50
  6. Step 6: Final answer
    x = 186,494.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.