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Finding the Third Proportional to 1,918.50 and 4,240.38

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Solution

The third proportional to 1,918.50 and 4,240.38 is: 9,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.50 : 4,240.38 = 4,240.38 : x
  2. Step 2: Convert to fraction form
    1,918.50/4,240.38 = 4,240.38/x
  3. Step 3: Cross multiply
    1,918.50x = 4,240.38 × 4,240.38
  4. Step 4: Simplify right side
    1,918.50x = 17,980,780.14
  5. Step 5: Solve for x
    x = 17,980,780.14/1,918.50
  6. Step 6: Final answer
    x = 9,372.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.