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Finding the Third Proportional to 742.88 and 1,577.63

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Solution

The third proportional to 742.88 and 1,577.63 is: 3,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.88 : 1,577.63 = 1,577.63 : x
  2. Step 2: Convert to fraction form
    742.88/1,577.63 = 1,577.63/x
  3. Step 3: Cross multiply
    742.88x = 1,577.63 × 1,577.63
  4. Step 4: Simplify right side
    742.88x = 2,488,900.64
  5. Step 5: Solve for x
    x = 2,488,900.64/742.88
  6. Step 6: Final answer
    x = 3,350.36

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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.