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Finding the Third Proportional to 189,915.89 and 405,255.66

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Solution

The third proportional to 189,915.89 and 405,255.66 is: 864,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,915.89 : 405,255.66 = 405,255.66 : x
  2. Step 2: Convert to fraction form
    189,915.89/405,255.66 = 405,255.66/x
  3. Step 3: Cross multiply
    189,915.89x = 405,255.66 × 405,255.66
  4. Step 4: Simplify right side
    189,915.89x = 164,232,146,922.62
  5. Step 5: Solve for x
    x = 164,232,146,922.62/189,915.89
  6. Step 6: Final answer
    x = 864,762.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.