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Finding the Third Proportional to 3,762.56 and 4,167.56

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Solution

The third proportional to 3,762.56 and 4,167.56 is: 4,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.56 : 4,167.56 = 4,167.56 : x
  2. Step 2: Convert to fraction form
    3,762.56/4,167.56 = 4,167.56/x
  3. Step 3: Cross multiply
    3,762.56x = 4,167.56 × 4,167.56
  4. Step 4: Simplify right side
    3,762.56x = 17,368,577.19
  5. Step 5: Solve for x
    x = 17,368,577.19/3,762.56
  6. Step 6: Final answer
    x = 4,616.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.