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Finding the Third Proportional to 1,150.03 and 2,367.98

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Solution

The third proportional to 1,150.03 and 2,367.98 is: 4,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.03 : 2,367.98 = 2,367.98 : x
  2. Step 2: Convert to fraction form
    1,150.03/2,367.98 = 2,367.98/x
  3. Step 3: Cross multiply
    1,150.03x = 2,367.98 × 2,367.98
  4. Step 4: Simplify right side
    1,150.03x = 5,607,350.00
  5. Step 5: Solve for x
    x = 5,607,350.00/1,150.03
  6. Step 6: Final answer
    x = 4,875.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.