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Finding the Third Proportional to 243,014 and 327,142

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Solution

The third proportional to 243,014 and 327,142 is: 440,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,014 : 327,142 = 327,142 : x
  2. Step 2: Convert to fraction form
    243,014/327,142 = 327,142/x
  3. Step 3: Cross multiply
    243,014x = 327,142 × 327,142
  4. Step 4: Simplify right side
    243,014x = 107,021,888,164
  5. Step 5: Solve for x
    x = 107,021,888,164/243,014
  6. Step 6: Final answer
    x = 440,393.92

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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.