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Finding the Third Proportional to 379,210 and 810,908

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Solution

The third proportional to 379,210 and 810,908 is: 1,734,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,210 : 810,908 = 810,908 : x
  2. Step 2: Convert to fraction form
    379,210/810,908 = 810,908/x
  3. Step 3: Cross multiply
    379,210x = 810,908 × 810,908
  4. Step 4: Simplify right side
    379,210x = 657,571,784,464
  5. Step 5: Solve for x
    x = 657,571,784,464/379,210
  6. Step 6: Final answer
    x = 1,734,057.08

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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.