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Finding the Third Proportional to 719.40 and 1,592.37

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Solution

The third proportional to 719.40 and 1,592.37 is: 3,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.40 : 1,592.37 = 1,592.37 : x
  2. Step 2: Convert to fraction form
    719.40/1,592.37 = 1,592.37/x
  3. Step 3: Cross multiply
    719.40x = 1,592.37 × 1,592.37
  4. Step 4: Simplify right side
    719.40x = 2,535,633.26
  5. Step 5: Solve for x
    x = 2,535,633.26/719.40
  6. Step 6: Final answer
    x = 3,524.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.