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Finding the Third Proportional to 164.67 and 256.99

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Solution

The third proportional to 164.67 and 256.99 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.67 : 256.99 = 256.99 : x
  2. Step 2: Convert to fraction form
    164.67/256.99 = 256.99/x
  3. Step 3: Cross multiply
    164.67x = 256.99 × 256.99
  4. Step 4: Simplify right side
    164.67x = 66,044.98
  5. Step 5: Solve for x
    x = 66,044.98/164.67
  6. Step 6: Final answer
    x = 401.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.