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Finding the Third Proportional to 38,947 and 84,728

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Solution

The third proportional to 38,947 and 84,728 is: 184,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,947 : 84,728 = 84,728 : x
  2. Step 2: Convert to fraction form
    38,947/84,728 = 84,728/x
  3. Step 3: Cross multiply
    38,947x = 84,728 × 84,728
  4. Step 4: Simplify right side
    38,947x = 7,178,833,984
  5. Step 5: Solve for x
    x = 7,178,833,984/38,947
  6. Step 6: Final answer
    x = 184,323.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.