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Finding the Third Proportional to 180,658 and 389,064

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Solution

The third proportional to 180,658 and 389,064 is: 837,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,658 : 389,064 = 389,064 : x
  2. Step 2: Convert to fraction form
    180,658/389,064 = 389,064/x
  3. Step 3: Cross multiply
    180,658x = 389,064 × 389,064
  4. Step 4: Simplify right side
    180,658x = 151,370,796,096
  5. Step 5: Solve for x
    x = 151,370,796,096/180,658
  6. Step 6: Final answer
    x = 837,885.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.