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Finding the Third Proportional to 243,202 and 327,407

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Solution

The third proportional to 243,202 and 327,407 is: 440,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,202 : 327,407 = 327,407 : x
  2. Step 2: Convert to fraction form
    243,202/327,407 = 327,407/x
  3. Step 3: Cross multiply
    243,202x = 327,407 × 327,407
  4. Step 4: Simplify right side
    243,202x = 107,195,343,649
  5. Step 5: Solve for x
    x = 107,195,343,649/243,202
  6. Step 6: Final answer
    x = 440,766.70

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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.