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Finding the Third Proportional to 39,239 and 84,765

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Solution

The third proportional to 39,239 and 84,765 is: 183,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,239 : 84,765 = 84,765 : x
  2. Step 2: Convert to fraction form
    39,239/84,765 = 84,765/x
  3. Step 3: Cross multiply
    39,239x = 84,765 × 84,765
  4. Step 4: Simplify right side
    39,239x = 7,185,105,225
  5. Step 5: Solve for x
    x = 7,185,105,225/39,239
  6. Step 6: Final answer
    x = 183,111.32

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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.