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Finding the Third Proportional to 4,680.28 and 10,089.56

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Solution

The third proportional to 4,680.28 and 10,089.56 is: 21,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.28 : 10,089.56 = 10,089.56 : x
  2. Step 2: Convert to fraction form
    4,680.28/10,089.56 = 10,089.56/x
  3. Step 3: Cross multiply
    4,680.28x = 10,089.56 × 10,089.56
  4. Step 4: Simplify right side
    4,680.28x = 101,799,271.44
  5. Step 5: Solve for x
    x = 101,799,271.44/4,680.28
  6. Step 6: Final answer
    x = 21,750.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.