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Finding the Third Proportional to 286,941 and 421,195.50

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Solution

The third proportional to 286,941 and 421,195.50 is: 618,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,941 : 421,195.50 = 421,195.50 : x
  2. Step 2: Convert to fraction form
    286,941/421,195.50 = 421,195.50/x
  3. Step 3: Cross multiply
    286,941x = 421,195.50 × 421,195.50
  4. Step 4: Simplify right side
    286,941x = 177,405,649,220.25
  5. Step 5: Solve for x
    x = 177,405,649,220.25/286,941
  6. Step 6: Final answer
    x = 618,265.25

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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.