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Finding the Third Proportional to 7,857 and 18,540

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Solution

The third proportional to 7,857 and 18,540 is: 43,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 18,540 = 18,540 : x
  2. Step 2: Convert to fraction form
    7,857/18,540 = 18,540/x
  3. Step 3: Cross multiply
    7,857x = 18,540 × 18,540
  4. Step 4: Simplify right side
    7,857x = 343,731,600
  5. Step 5: Solve for x
    x = 343,731,600/7,857
  6. Step 6: Final answer
    x = 43,748.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.