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Finding the Third Proportional to 2,688.75 and 4,331.63

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Solution

The third proportional to 2,688.75 and 4,331.63 is: 6,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.75 : 4,331.63 = 4,331.63 : x
  2. Step 2: Convert to fraction form
    2,688.75/4,331.63 = 4,331.63/x
  3. Step 3: Cross multiply
    2,688.75x = 4,331.63 × 4,331.63
  4. Step 4: Simplify right side
    2,688.75x = 18,762,975.14
  5. Step 5: Solve for x
    x = 18,762,975.14/2,688.75
  6. Step 6: Final answer
    x = 6,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.