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Finding the Third Proportional to 1,972.71 and 3,122.46

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Solution

The third proportional to 1,972.71 and 3,122.46 is: 4,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.71 : 3,122.46 = 3,122.46 : x
  2. Step 2: Convert to fraction form
    1,972.71/3,122.46 = 3,122.46/x
  3. Step 3: Cross multiply
    1,972.71x = 3,122.46 × 3,122.46
  4. Step 4: Simplify right side
    1,972.71x = 9,749,725.71
  5. Step 5: Solve for x
    x = 9,749,725.71/1,972.71
  6. Step 6: Final answer
    x = 4,942.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.