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Finding the Third Proportional to 218,164 and 320,064

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Solution

The third proportional to 218,164 and 320,064 is: 469,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,164 : 320,064 = 320,064 : x
  2. Step 2: Convert to fraction form
    218,164/320,064 = 320,064/x
  3. Step 3: Cross multiply
    218,164x = 320,064 × 320,064
  4. Step 4: Simplify right side
    218,164x = 102,440,964,096
  5. Step 5: Solve for x
    x = 102,440,964,096/218,164
  6. Step 6: Final answer
    x = 469,559.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.