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Finding the Third Proportional to 1,235.88 and 1,987.66

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Solution

The third proportional to 1,235.88 and 1,987.66 is: 3,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.88 : 1,987.66 = 1,987.66 : x
  2. Step 2: Convert to fraction form
    1,235.88/1,987.66 = 1,987.66/x
  3. Step 3: Cross multiply
    1,235.88x = 1,987.66 × 1,987.66
  4. Step 4: Simplify right side
    1,235.88x = 3,950,808.43
  5. Step 5: Solve for x
    x = 3,950,808.43/1,235.88
  6. Step 6: Final answer
    x = 3,196.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.