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Finding the Third Proportional to 63,680.50 and 98,194

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Solution

The third proportional to 63,680.50 and 98,194 is: 151,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,680.50 : 98,194 = 98,194 : x
  2. Step 2: Convert to fraction form
    63,680.50/98,194 = 98,194/x
  3. Step 3: Cross multiply
    63,680.50x = 98,194 × 98,194
  4. Step 4: Simplify right side
    63,680.50x = 9,642,061,636
  5. Step 5: Solve for x
    x = 9,642,061,636/63,680.50
  6. Step 6: Final answer
    x = 151,413.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.