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Finding the Third Proportional to 103,450.13 and 158,175.75

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Solution

The third proportional to 103,450.13 and 158,175.75 is: 241,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,450.13 : 158,175.75 = 158,175.75 : x
  2. Step 2: Convert to fraction form
    103,450.13/158,175.75 = 158,175.75/x
  3. Step 3: Cross multiply
    103,450.13x = 158,175.75 × 158,175.75
  4. Step 4: Simplify right side
    103,450.13x = 25,019,567,888.06
  5. Step 5: Solve for x
    x = 25,019,567,888.06/103,450.13
  6. Step 6: Final answer
    x = 241,851.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.