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Finding the Third Proportional to 3,003.50 and 4,300.25

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Solution

The third proportional to 3,003.50 and 4,300.25 is: 6,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.50 : 4,300.25 = 4,300.25 : x
  2. Step 2: Convert to fraction form
    3,003.50/4,300.25 = 4,300.25/x
  3. Step 3: Cross multiply
    3,003.50x = 4,300.25 × 4,300.25
  4. Step 4: Simplify right side
    3,003.50x = 18,492,150.06
  5. Step 5: Solve for x
    x = 18,492,150.06/3,003.50
  6. Step 6: Final answer
    x = 6,156.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.