Home / 4,206-6,537

Finding the Third Proportional to 4,206 and 6,537

Calculator

Solution

The third proportional to 4,206 and 6,537 is: 10,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 6,537 = 6,537 : x
  2. Step 2: Convert to fraction form
    4,206/6,537 = 6,537/x
  3. Step 3: Cross multiply
    4,206x = 6,537 × 6,537
  4. Step 4: Simplify right side
    4,206x = 42,732,369
  5. Step 5: Solve for x
    x = 42,732,369/4,206
  6. Step 6: Final answer
    x = 10,159.86

Related Problems

Find third proportional to 2,103 and 3,268.50
Half scale
Find third proportional to 8,412 and 13,074
Double scale
Find third proportional to 4,208 and 6,540
Similar ratio
Find third proportional to 6,309 and 9,805.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.