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Finding the Third Proportional to 1,683.75 and 2,565.38

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Solution

The third proportional to 1,683.75 and 2,565.38 is: 3,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.75 : 2,565.38 = 2,565.38 : x
  2. Step 2: Convert to fraction form
    1,683.75/2,565.38 = 2,565.38/x
  3. Step 3: Cross multiply
    1,683.75x = 2,565.38 × 2,565.38
  4. Step 4: Simplify right side
    1,683.75x = 6,581,148.89
  5. Step 5: Solve for x
    x = 6,581,148.89/1,683.75
  6. Step 6: Final answer
    x = 3,908.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.