Home / 1,732-4,142

Finding the Third Proportional to 1,732 and 4,142

Calculator

Solution

The third proportional to 1,732 and 4,142 is: 9,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732 : 4,142 = 4,142 : x
  2. Step 2: Convert to fraction form
    1,732/4,142 = 4,142/x
  3. Step 3: Cross multiply
    1,732x = 4,142 × 4,142
  4. Step 4: Simplify right side
    1,732x = 17,156,164
  5. Step 5: Solve for x
    x = 17,156,164/1,732
  6. Step 6: Final answer
    x = 9,905.41

Related Problems

Find third proportional to 866 and 2,071
Half scale
Find third proportional to 3,464 and 8,284
Double scale
Find third proportional to 1,734 and 4,147
Similar ratio
Find third proportional to 2,598 and 6,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.