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Finding the Third Proportional to 142,158 and 303,999

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Solution

The third proportional to 142,158 and 303,999 is: 650,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,158 : 303,999 = 303,999 : x
  2. Step 2: Convert to fraction form
    142,158/303,999 = 303,999/x
  3. Step 3: Cross multiply
    142,158x = 303,999 × 303,999
  4. Step 4: Simplify right side
    142,158x = 92,415,392,001
  5. Step 5: Solve for x
    x = 92,415,392,001/142,158
  6. Step 6: Final answer
    x = 650,089.28

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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.