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Finding the Third Proportional to 33,610.50 and 42,475.50

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Solution

The third proportional to 33,610.50 and 42,475.50 is: 53,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,610.50 : 42,475.50 = 42,475.50 : x
  2. Step 2: Convert to fraction form
    33,610.50/42,475.50 = 42,475.50/x
  3. Step 3: Cross multiply
    33,610.50x = 42,475.50 × 42,475.50
  4. Step 4: Simplify right side
    33,610.50x = 1,804,168,100.25
  5. Step 5: Solve for x
    x = 1,804,168,100.25/33,610.50
  6. Step 6: Final answer
    x = 53,678.70

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.