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Finding the Third Proportional to 7,870 and 18,201

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Solution

The third proportional to 7,870 and 18,201 is: 42,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870 : 18,201 = 18,201 : x
  2. Step 2: Convert to fraction form
    7,870/18,201 = 18,201/x
  3. Step 3: Cross multiply
    7,870x = 18,201 × 18,201
  4. Step 4: Simplify right side
    7,870x = 331,276,401
  5. Step 5: Solve for x
    x = 331,276,401/7,870
  6. Step 6: Final answer
    x = 42,093.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.