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Finding the Third Proportional to 3,637.69 and 4,219.31

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Solution

The third proportional to 3,637.69 and 4,219.31 is: 4,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.69 : 4,219.31 = 4,219.31 : x
  2. Step 2: Convert to fraction form
    3,637.69/4,219.31 = 4,219.31/x
  3. Step 3: Cross multiply
    3,637.69x = 4,219.31 × 4,219.31
  4. Step 4: Simplify right side
    3,637.69x = 17,802,597.97
  5. Step 5: Solve for x
    x = 17,802,597.97/3,637.69
  6. Step 6: Final answer
    x = 4,893.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.