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Finding the Third Proportional to 398,210 and 843,056

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Solution

The third proportional to 398,210 and 843,056 is: 1,784,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,210 : 843,056 = 843,056 : x
  2. Step 2: Convert to fraction form
    398,210/843,056 = 843,056/x
  3. Step 3: Cross multiply
    398,210x = 843,056 × 843,056
  4. Step 4: Simplify right side
    398,210x = 710,743,419,136
  5. Step 5: Solve for x
    x = 710,743,419,136/398,210
  6. Step 6: Final answer
    x = 1,784,845.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.