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Finding the Third Proportional to 142,438.50 and 300,884.63

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Solution

The third proportional to 142,438.50 and 300,884.63 is: 635,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.50 : 300,884.63 = 300,884.63 : x
  2. Step 2: Convert to fraction form
    142,438.50/300,884.63 = 300,884.63/x
  3. Step 3: Cross multiply
    142,438.50x = 300,884.63 × 300,884.63
  4. Step 4: Simplify right side
    142,438.50x = 90,531,557,561.39
  5. Step 5: Solve for x
    x = 90,531,557,561.39/142,438.50
  6. Step 6: Final answer
    x = 635,583.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.