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Finding the Third Proportional to 164 and 399

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Solution

The third proportional to 164 and 399 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 399 = 399 : x
  2. Step 2: Convert to fraction form
    164/399 = 399/x
  3. Step 3: Cross multiply
    164x = 399 × 399
  4. Step 4: Simplify right side
    164x = 159,201
  5. Step 5: Solve for x
    x = 159,201/164
  6. Step 6: Final answer
    x = 970.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.