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Finding the Third Proportional to 238,720 and 323,064

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Solution

The third proportional to 238,720 and 323,064 is: 437,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,720 : 323,064 = 323,064 : x
  2. Step 2: Convert to fraction form
    238,720/323,064 = 323,064/x
  3. Step 3: Cross multiply
    238,720x = 323,064 × 323,064
  4. Step 4: Simplify right side
    238,720x = 104,370,348,096
  5. Step 5: Solve for x
    x = 104,370,348,096/238,720
  6. Step 6: Final answer
    x = 437,208.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.