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Finding the Third Proportional to 7,840.69 and 18,963.56

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Solution

The third proportional to 7,840.69 and 18,963.56 is: 45,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.69 : 18,963.56 = 18,963.56 : x
  2. Step 2: Convert to fraction form
    7,840.69/18,963.56 = 18,963.56/x
  3. Step 3: Cross multiply
    7,840.69x = 18,963.56 × 18,963.56
  4. Step 4: Simplify right side
    7,840.69x = 359,616,702.69
  5. Step 5: Solve for x
    x = 359,616,702.69/7,840.69
  6. Step 6: Final answer
    x = 45,865.46

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.