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Finding the Third Proportional to 729.47 and 1,091.63

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Solution

The third proportional to 729.47 and 1,091.63 is: 1,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.47 : 1,091.63 = 1,091.63 : x
  2. Step 2: Convert to fraction form
    729.47/1,091.63 = 1,091.63/x
  3. Step 3: Cross multiply
    729.47x = 1,091.63 × 1,091.63
  4. Step 4: Simplify right side
    729.47x = 1,191,645.14
  5. Step 5: Solve for x
    x = 1,191,645.14/729.47
  6. Step 6: Final answer
    x = 1,633.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.