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Finding the Third Proportional to 1,712.87 and 2,212.63

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Solution

The third proportional to 1,712.87 and 2,212.63 is: 2,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.87 : 2,212.63 = 2,212.63 : x
  2. Step 2: Convert to fraction form
    1,712.87/2,212.63 = 2,212.63/x
  3. Step 3: Cross multiply
    1,712.87x = 2,212.63 × 2,212.63
  4. Step 4: Simplify right side
    1,712.87x = 4,895,726.68
  5. Step 5: Solve for x
    x = 4,895,726.68/1,712.87
  6. Step 6: Final answer
    x = 2,858.21

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.