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Finding the Third Proportional to 84,928 and 178,118

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Solution

The third proportional to 84,928 and 178,118 is: 373,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,928 : 178,118 = 178,118 : x
  2. Step 2: Convert to fraction form
    84,928/178,118 = 178,118/x
  3. Step 3: Cross multiply
    84,928x = 178,118 × 178,118
  4. Step 4: Simplify right side
    84,928x = 31,726,021,924
  5. Step 5: Solve for x
    x = 31,726,021,924/84,928
  6. Step 6: Final answer
    x = 373,563.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.