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Finding the Third Proportional to 751.78 and 1,742.77

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Solution

The third proportional to 751.78 and 1,742.77 is: 4,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,742.77 = 1,742.77 : x
  2. Step 2: Convert to fraction form
    751.78/1,742.77 = 1,742.77/x
  3. Step 3: Cross multiply
    751.78x = 1,742.77 × 1,742.77
  4. Step 4: Simplify right side
    751.78x = 3,037,232.02
  5. Step 5: Solve for x
    x = 3,037,232.02/751.78
  6. Step 6: Final answer
    x = 4,040.05

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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.