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Finding the Third Proportional to 753.21 and 1,443.76

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Solution

The third proportional to 753.21 and 1,443.76 is: 2,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.21 : 1,443.76 = 1,443.76 : x
  2. Step 2: Convert to fraction form
    753.21/1,443.76 = 1,443.76/x
  3. Step 3: Cross multiply
    753.21x = 1,443.76 × 1,443.76
  4. Step 4: Simplify right side
    753.21x = 2,084,447.90
  5. Step 5: Solve for x
    x = 2,084,447.90/753.21
  6. Step 6: Final answer
    x = 2,767.44

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.