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Finding the Third Proportional to 1,864.27 and 4,129.73

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Solution

The third proportional to 1,864.27 and 4,129.73 is: 9,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.27 : 4,129.73 = 4,129.73 : x
  2. Step 2: Convert to fraction form
    1,864.27/4,129.73 = 4,129.73/x
  3. Step 3: Cross multiply
    1,864.27x = 4,129.73 × 4,129.73
  4. Step 4: Simplify right side
    1,864.27x = 17,054,706.01
  5. Step 5: Solve for x
    x = 17,054,706.01/1,864.27
  6. Step 6: Final answer
    x = 9,148.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.