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Finding the Third Proportional to 7,889.91 and 12,309.47

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Solution

The third proportional to 7,889.91 and 12,309.47 is: 19,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.91 : 12,309.47 = 12,309.47 : x
  2. Step 2: Convert to fraction form
    7,889.91/12,309.47 = 12,309.47/x
  3. Step 3: Cross multiply
    7,889.91x = 12,309.47 × 12,309.47
  4. Step 4: Simplify right side
    7,889.91x = 151,523,020.91
  5. Step 5: Solve for x
    x = 151,523,020.91/7,889.91
  6. Step 6: Final answer
    x = 19,204.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.