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Finding the Third Proportional to 185,840 and 395,680

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Solution

The third proportional to 185,840 and 395,680 is: 842,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,840 : 395,680 = 395,680 : x
  2. Step 2: Convert to fraction form
    185,840/395,680 = 395,680/x
  3. Step 3: Cross multiply
    185,840x = 395,680 × 395,680
  4. Step 4: Simplify right side
    185,840x = 156,562,662,400
  5. Step 5: Solve for x
    x = 156,562,662,400/185,840
  6. Step 6: Final answer
    x = 842,459.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.