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Finding the Third Proportional to 633.42 and 1,479.84

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Solution

The third proportional to 633.42 and 1,479.84 is: 3,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.42 : 1,479.84 = 1,479.84 : x
  2. Step 2: Convert to fraction form
    633.42/1,479.84 = 1,479.84/x
  3. Step 3: Cross multiply
    633.42x = 1,479.84 × 1,479.84
  4. Step 4: Simplify right side
    633.42x = 2,189,937.52
  5. Step 5: Solve for x
    x = 2,189,937.52/633.42
  6. Step 6: Final answer
    x = 3,457.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.