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Finding the Third Proportional to 1,982.81 and 4,240.69

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Solution

The third proportional to 1,982.81 and 4,240.69 is: 9,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.81 : 4,240.69 = 4,240.69 : x
  2. Step 2: Convert to fraction form
    1,982.81/4,240.69 = 4,240.69/x
  3. Step 3: Cross multiply
    1,982.81x = 4,240.69 × 4,240.69
  4. Step 4: Simplify right side
    1,982.81x = 17,983,430.47
  5. Step 5: Solve for x
    x = 17,983,430.47/1,982.81
  6. Step 6: Final answer
    x = 9,069.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.