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Finding the Third Proportional to 719.93 and 1,151.09

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Solution

The third proportional to 719.93 and 1,151.09 is: 1,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.93 : 1,151.09 = 1,151.09 : x
  2. Step 2: Convert to fraction form
    719.93/1,151.09 = 1,151.09/x
  3. Step 3: Cross multiply
    719.93x = 1,151.09 × 1,151.09
  4. Step 4: Simplify right side
    719.93x = 1,324,998.84
  5. Step 5: Solve for x
    x = 1,324,998.84/719.93
  6. Step 6: Final answer
    x = 1,840.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.