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Finding the Third Proportional to 197,960 and 427,000

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Solution

The third proportional to 197,960 and 427,000 is: 921,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,960 : 427,000 = 427,000 : x
  2. Step 2: Convert to fraction form
    197,960/427,000 = 427,000/x
  3. Step 3: Cross multiply
    197,960x = 427,000 × 427,000
  4. Step 4: Simplify right side
    197,960x = 182,329,000,000
  5. Step 5: Solve for x
    x = 182,329,000,000/197,960
  6. Step 6: Final answer
    x = 921,039.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.