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Finding the Third Proportional to 755.81 and 1,602.19

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Solution

The third proportional to 755.81 and 1,602.19 is: 3,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.81 : 1,602.19 = 1,602.19 : x
  2. Step 2: Convert to fraction form
    755.81/1,602.19 = 1,602.19/x
  3. Step 3: Cross multiply
    755.81x = 1,602.19 × 1,602.19
  4. Step 4: Simplify right side
    755.81x = 2,567,004.79
  5. Step 5: Solve for x
    x = 2,567,004.79/755.81
  6. Step 6: Final answer
    x = 3,396.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.