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Finding the Third Proportional to 2,272.50 and 2,950.88

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Solution

The third proportional to 2,272.50 and 2,950.88 is: 3,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.50 : 2,950.88 = 2,950.88 : x
  2. Step 2: Convert to fraction form
    2,272.50/2,950.88 = 2,950.88/x
  3. Step 3: Cross multiply
    2,272.50x = 2,950.88 × 2,950.88
  4. Step 4: Simplify right side
    2,272.50x = 8,707,663.27
  5. Step 5: Solve for x
    x = 8,707,663.27/2,272.50
  6. Step 6: Final answer
    x = 3,831.76

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.