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Finding the Third Proportional to 80,420 and 163,000

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Solution

The third proportional to 80,420 and 163,000 is: 330,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420 : 163,000 = 163,000 : x
  2. Step 2: Convert to fraction form
    80,420/163,000 = 163,000/x
  3. Step 3: Cross multiply
    80,420x = 163,000 × 163,000
  4. Step 4: Simplify right side
    80,420x = 26,569,000,000
  5. Step 5: Solve for x
    x = 26,569,000,000/80,420
  6. Step 6: Final answer
    x = 330,378.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.