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Finding the Third Proportional to 142,290.70 and 303,015.94

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Solution

The third proportional to 142,290.70 and 303,015.94 is: 645,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,290.70 : 303,015.94 = 303,015.94 : x
  2. Step 2: Convert to fraction form
    142,290.70/303,015.94 = 303,015.94/x
  3. Step 3: Cross multiply
    142,290.70x = 303,015.94 × 303,015.94
  4. Step 4: Simplify right side
    142,290.70x = 91,818,658,379.00
  5. Step 5: Solve for x
    x = 91,818,658,379.00/142,290.70
  6. Step 6: Final answer
    x = 645,289.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.