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Finding the Third Proportional to 747.19 and 1,736.34

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Solution

The third proportional to 747.19 and 1,736.34 is: 4,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.19 : 1,736.34 = 1,736.34 : x
  2. Step 2: Convert to fraction form
    747.19/1,736.34 = 1,736.34/x
  3. Step 3: Cross multiply
    747.19x = 1,736.34 × 1,736.34
  4. Step 4: Simplify right side
    747.19x = 3,014,889.62
  5. Step 5: Solve for x
    x = 3,014,889.62/747.19
  6. Step 6: Final answer
    x = 4,034.98

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.