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Finding the Third Proportional to 92,308 and 144,610

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Solution

The third proportional to 92,308 and 144,610 is: 226,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308 : 144,610 = 144,610 : x
  2. Step 2: Convert to fraction form
    92,308/144,610 = 144,610/x
  3. Step 3: Cross multiply
    92,308x = 144,610 × 144,610
  4. Step 4: Simplify right side
    92,308x = 20,912,052,100
  5. Step 5: Solve for x
    x = 20,912,052,100/92,308
  6. Step 6: Final answer
    x = 226,546.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.