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Finding the Third Proportional to 39,207 and 84,679

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Solution

The third proportional to 39,207 and 84,679 is: 182,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,207 : 84,679 = 84,679 : x
  2. Step 2: Convert to fraction form
    39,207/84,679 = 84,679/x
  3. Step 3: Cross multiply
    39,207x = 84,679 × 84,679
  4. Step 4: Simplify right side
    39,207x = 7,170,533,041
  5. Step 5: Solve for x
    x = 7,170,533,041/39,207
  6. Step 6: Final answer
    x = 182,889.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.