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Finding the Third Proportional to 397,321 and 869,724

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Solution

The third proportional to 397,321 and 869,724 is: 1,903,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321 : 869,724 = 869,724 : x
  2. Step 2: Convert to fraction form
    397,321/869,724 = 869,724/x
  3. Step 3: Cross multiply
    397,321x = 869,724 × 869,724
  4. Step 4: Simplify right side
    397,321x = 756,419,836,176
  5. Step 5: Solve for x
    x = 756,419,836,176/397,321
  6. Step 6: Final answer
    x = 1,903,800.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.