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Finding the Third Proportional to 142,157.50 and 303,998

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Solution

The third proportional to 142,157.50 and 303,998 is: 650,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,157.50 : 303,998 = 303,998 : x
  2. Step 2: Convert to fraction form
    142,157.50/303,998 = 303,998/x
  3. Step 3: Cross multiply
    142,157.50x = 303,998 × 303,998
  4. Step 4: Simplify right side
    142,157.50x = 92,414,784,004
  5. Step 5: Solve for x
    x = 92,414,784,004/142,157.50
  6. Step 6: Final answer
    x = 650,087.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.