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Finding the Third Proportional to 1,976.63 and 4,280.63

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Solution

The third proportional to 1,976.63 and 4,280.63 is: 9,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.63 : 4,280.63 = 4,280.63 : x
  2. Step 2: Convert to fraction form
    1,976.63/4,280.63 = 4,280.63/x
  3. Step 3: Cross multiply
    1,976.63x = 4,280.63 × 4,280.63
  4. Step 4: Simplify right side
    1,976.63x = 18,323,750.39
  5. Step 5: Solve for x
    x = 18,323,750.39/1,976.63
  6. Step 6: Final answer
    x = 9,270.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.