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Finding the Third Proportional to 84,939 and 178,138.50

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Solution

The third proportional to 84,939 and 178,138.50 is: 373,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,939 : 178,138.50 = 178,138.50 : x
  2. Step 2: Convert to fraction form
    84,939/178,138.50 = 178,138.50/x
  3. Step 3: Cross multiply
    84,939x = 178,138.50 × 178,138.50
  4. Step 4: Simplify right side
    84,939x = 31,733,325,182.25
  5. Step 5: Solve for x
    x = 31,733,325,182.25/84,939
  6. Step 6: Final answer
    x = 373,601.35

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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.