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Finding the Third Proportional to 394,200 and 847,440

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Solution

The third proportional to 394,200 and 847,440 is: 1,821,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,200 : 847,440 = 847,440 : x
  2. Step 2: Convert to fraction form
    394,200/847,440 = 847,440/x
  3. Step 3: Cross multiply
    394,200x = 847,440 × 847,440
  4. Step 4: Simplify right side
    394,200x = 718,154,553,600
  5. Step 5: Solve for x
    x = 718,154,553,600/394,200
  6. Step 6: Final answer
    x = 1,821,802.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.