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Finding the Third Proportional to 303,096 and 638,148

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Solution

The third proportional to 303,096 and 638,148 is: 1,343,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,096 : 638,148 = 638,148 : x
  2. Step 2: Convert to fraction form
    303,096/638,148 = 638,148/x
  3. Step 3: Cross multiply
    303,096x = 638,148 × 638,148
  4. Step 4: Simplify right side
    303,096x = 407,232,869,904
  5. Step 5: Solve for x
    x = 407,232,869,904/303,096
  6. Step 6: Final answer
    x = 1,343,577.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.