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Finding the Third Proportional to 142,015.50 and 308,172.25

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Solution

The third proportional to 142,015.50 and 308,172.25 is: 668,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,015.50 : 308,172.25 = 308,172.25 : x
  2. Step 2: Convert to fraction form
    142,015.50/308,172.25 = 308,172.25/x
  3. Step 3: Cross multiply
    142,015.50x = 308,172.25 × 308,172.25
  4. Step 4: Simplify right side
    142,015.50x = 94,970,135,670.06
  5. Step 5: Solve for x
    x = 94,970,135,670.06/142,015.50
  6. Step 6: Final answer
    x = 668,730.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.