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Finding the Third Proportional to 1,685 and 4,064

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Solution

The third proportional to 1,685 and 4,064 is: 9,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685 : 4,064 = 4,064 : x
  2. Step 2: Convert to fraction form
    1,685/4,064 = 4,064/x
  3. Step 3: Cross multiply
    1,685x = 4,064 × 4,064
  4. Step 4: Simplify right side
    1,685x = 16,516,096
  5. Step 5: Solve for x
    x = 16,516,096/1,685
  6. Step 6: Final answer
    x = 9,801.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.