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Finding the Third Proportional to 672.05 and 1,577.60

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Solution

The third proportional to 672.05 and 1,577.60 is: 3,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 1,577.60 = 1,577.60 : x
  2. Step 2: Convert to fraction form
    672.05/1,577.60 = 1,577.60/x
  3. Step 3: Cross multiply
    672.05x = 1,577.60 × 1,577.60
  4. Step 4: Simplify right side
    672.05x = 2,488,826.69
  5. Step 5: Solve for x
    x = 2,488,826.69/672.05
  6. Step 6: Final answer
    x = 3,703.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.