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Finding the Third Proportional to 1,712.25 and 3,758.63

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Solution

The third proportional to 1,712.25 and 3,758.63 is: 8,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.25 : 3,758.63 = 3,758.63 : x
  2. Step 2: Convert to fraction form
    1,712.25/3,758.63 = 3,758.63/x
  3. Step 3: Cross multiply
    1,712.25x = 3,758.63 × 3,758.63
  4. Step 4: Simplify right side
    1,712.25x = 14,127,261.89
  5. Step 5: Solve for x
    x = 14,127,261.89/1,712.25
  6. Step 6: Final answer
    x = 8,250.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.