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Finding the Third Proportional to 633.94 and 1,051.03

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Solution

The third proportional to 633.94 and 1,051.03 is: 1,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.94 : 1,051.03 = 1,051.03 : x
  2. Step 2: Convert to fraction form
    633.94/1,051.03 = 1,051.03/x
  3. Step 3: Cross multiply
    633.94x = 1,051.03 × 1,051.03
  4. Step 4: Simplify right side
    633.94x = 1,104,666.69
  5. Step 5: Solve for x
    x = 1,104,666.69/633.94
  6. Step 6: Final answer
    x = 1,742.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.