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Finding the Third Proportional to 1,712.39 and 3,671.58

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Solution

The third proportional to 1,712.39 and 3,671.58 is: 7,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.39 : 3,671.58 = 3,671.58 : x
  2. Step 2: Convert to fraction form
    1,712.39/3,671.58 = 3,671.58/x
  3. Step 3: Cross multiply
    1,712.39x = 3,671.58 × 3,671.58
  4. Step 4: Simplify right side
    1,712.39x = 13,480,485.93
  5. Step 5: Solve for x
    x = 13,480,485.93/1,712.39
  6. Step 6: Final answer
    x = 7,872.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.