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Finding the Third Proportional to 237,116 and 421,603

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Solution

The third proportional to 237,116 and 421,603 is: 749,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,116 : 421,603 = 421,603 : x
  2. Step 2: Convert to fraction form
    237,116/421,603 = 421,603/x
  3. Step 3: Cross multiply
    237,116x = 421,603 × 421,603
  4. Step 4: Simplify right side
    237,116x = 177,749,089,609
  5. Step 5: Solve for x
    x = 177,749,089,609/237,116
  6. Step 6: Final answer
    x = 749,629.25

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.