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Finding the Third Proportional to 1,685.63 and 3,563.44

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Solution

The third proportional to 1,685.63 and 3,563.44 is: 7,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.63 : 3,563.44 = 3,563.44 : x
  2. Step 2: Convert to fraction form
    1,685.63/3,563.44 = 3,563.44/x
  3. Step 3: Cross multiply
    1,685.63x = 3,563.44 × 3,563.44
  4. Step 4: Simplify right side
    1,685.63x = 12,698,086.82
  5. Step 5: Solve for x
    x = 12,698,086.82/1,685.63
  6. Step 6: Final answer
    x = 7,533.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.