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Finding the Third Proportional to 163.90 and 384.80

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Solution

The third proportional to 163.90 and 384.80 is: 903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.90 : 384.80 = 384.80 : x
  2. Step 2: Convert to fraction form
    163.90/384.80 = 384.80/x
  3. Step 3: Cross multiply
    163.90x = 384.80 × 384.80
  4. Step 4: Simplify right side
    163.90x = 148,073.10
  5. Step 5: Solve for x
    x = 148,073.10/163.90
  6. Step 6: Final answer
    x = 903.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.