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Finding the Third Proportional to 379,302 and 810,444

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Solution

The third proportional to 379,302 and 810,444 is: 1,731,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,302 : 810,444 = 810,444 : x
  2. Step 2: Convert to fraction form
    379,302/810,444 = 810,444/x
  3. Step 3: Cross multiply
    379,302x = 810,444 × 810,444
  4. Step 4: Simplify right side
    379,302x = 656,819,477,136
  5. Step 5: Solve for x
    x = 656,819,477,136/379,302
  6. Step 6: Final answer
    x = 1,731,653.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.