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Finding the Third Proportional to 398,200 and 843,037

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Solution

The third proportional to 398,200 and 843,037 is: 1,784,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,200 : 843,037 = 843,037 : x
  2. Step 2: Convert to fraction form
    398,200/843,037 = 843,037/x
  3. Step 3: Cross multiply
    398,200x = 843,037 × 843,037
  4. Step 4: Simplify right side
    398,200x = 710,711,383,369
  5. Step 5: Solve for x
    x = 710,711,383,369/398,200
  6. Step 6: Final answer
    x = 1,784,810.10

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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.