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Finding the Third Proportional to 1,985.77 and 3,231.14

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Solution

The third proportional to 1,985.77 and 3,231.14 is: 5,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.77 : 3,231.14 = 3,231.14 : x
  2. Step 2: Convert to fraction form
    1,985.77/3,231.14 = 3,231.14/x
  3. Step 3: Cross multiply
    1,985.77x = 3,231.14 × 3,231.14
  4. Step 4: Simplify right side
    1,985.77x = 10,440,269.74
  5. Step 5: Solve for x
    x = 10,440,269.74/1,985.77
  6. Step 6: Final answer
    x = 5,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.