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Finding the Third Proportional to 1,425.94 and 3,120.47

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Solution

The third proportional to 1,425.94 and 3,120.47 is: 6,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.94 : 3,120.47 = 3,120.47 : x
  2. Step 2: Convert to fraction form
    1,425.94/3,120.47 = 3,120.47/x
  3. Step 3: Cross multiply
    1,425.94x = 3,120.47 × 3,120.47
  4. Step 4: Simplify right side
    1,425.94x = 9,737,325.22
  5. Step 5: Solve for x
    x = 9,737,325.22/1,425.94
  6. Step 6: Final answer
    x = 6,828.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.