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Finding the Third Proportional to 7,865 and 12,071

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Solution

The third proportional to 7,865 and 12,071 is: 18,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865 : 12,071 = 12,071 : x
  2. Step 2: Convert to fraction form
    7,865/12,071 = 12,071/x
  3. Step 3: Cross multiply
    7,865x = 12,071 × 12,071
  4. Step 4: Simplify right side
    7,865x = 145,709,041
  5. Step 5: Solve for x
    x = 145,709,041/7,865
  6. Step 6: Final answer
    x = 18,526.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.