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Finding the Third Proportional to 84,523.50 and 178,478.25

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Solution

The third proportional to 84,523.50 and 178,478.25 is: 376,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,523.50 : 178,478.25 = 178,478.25 : x
  2. Step 2: Convert to fraction form
    84,523.50/178,478.25 = 178,478.25/x
  3. Step 3: Cross multiply
    84,523.50x = 178,478.25 × 178,478.25
  4. Step 4: Simplify right side
    84,523.50x = 31,854,485,723.06
  5. Step 5: Solve for x
    x = 31,854,485,723.06/84,523.50
  6. Step 6: Final answer
    x = 376,871.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.