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Finding the Third Proportional to 1,611.50 and 3,842

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Solution

The third proportional to 1,611.50 and 3,842 is: 9,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.50 : 3,842 = 3,842 : x
  2. Step 2: Convert to fraction form
    1,611.50/3,842 = 3,842/x
  3. Step 3: Cross multiply
    1,611.50x = 3,842 × 3,842
  4. Step 4: Simplify right side
    1,611.50x = 14,760,964
  5. Step 5: Solve for x
    x = 14,760,964/1,611.50
  6. Step 6: Final answer
    x = 9,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.