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Finding the Third Proportional to 419.55 and 633.13

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Solution

The third proportional to 419.55 and 633.13 is: 955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 633.13 = 633.13 : x
  2. Step 2: Convert to fraction form
    419.55/633.13 = 633.13/x
  3. Step 3: Cross multiply
    419.55x = 633.13 × 633.13
  4. Step 4: Simplify right side
    419.55x = 400,852.21
  5. Step 5: Solve for x
    x = 400,852.21/419.55
  6. Step 6: Final answer
    x = 955.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.