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Finding the Third Proportional to 7,711.88 and 18,030.94

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Solution

The third proportional to 7,711.88 and 18,030.94 is: 42,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.88 : 18,030.94 = 18,030.94 : x
  2. Step 2: Convert to fraction form
    7,711.88/18,030.94 = 18,030.94/x
  3. Step 3: Cross multiply
    7,711.88x = 18,030.94 × 18,030.94
  4. Step 4: Simplify right side
    7,711.88x = 325,114,707.13
  5. Step 5: Solve for x
    x = 325,114,707.13/7,711.88
  6. Step 6: Final answer
    x = 42,157.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.