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Finding the Third Proportional to 44,128.13 and 97,163.63

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Solution

The third proportional to 44,128.13 and 97,163.63 is: 213,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128.13 : 97,163.63 = 97,163.63 : x
  2. Step 2: Convert to fraction form
    44,128.13/97,163.63 = 97,163.63/x
  3. Step 3: Cross multiply
    44,128.13x = 97,163.63 × 97,163.63
  4. Step 4: Simplify right side
    44,128.13x = 9,440,770,023.14
  5. Step 5: Solve for x
    x = 9,440,770,023.14/44,128.13
  6. Step 6: Final answer
    x = 213,939.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.