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Finding the Third Proportional to 18,142 and 39,308

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Solution

The third proportional to 18,142 and 39,308 is: 85,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 39,308 = 39,308 : x
  2. Step 2: Convert to fraction form
    18,142/39,308 = 39,308/x
  3. Step 3: Cross multiply
    18,142x = 39,308 × 39,308
  4. Step 4: Simplify right side
    18,142x = 1,545,118,864
  5. Step 5: Solve for x
    x = 1,545,118,864/18,142
  6. Step 6: Final answer
    x = 85,168.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.