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Finding the Third Proportional to 18,012.66 and 28,775.67

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Solution

The third proportional to 18,012.66 and 28,775.67 is: 45,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012.66 : 28,775.67 = 28,775.67 : x
  2. Step 2: Convert to fraction form
    18,012.66/28,775.67 = 28,775.67/x
  3. Step 3: Cross multiply
    18,012.66x = 28,775.67 × 28,775.67
  4. Step 4: Simplify right side
    18,012.66x = 828,039,291.86
  5. Step 5: Solve for x
    x = 828,039,291.86/18,012.66
  6. Step 6: Final answer
    x = 45,969.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.