Home / 407-841

Finding the Third Proportional to 407 and 841

Calculator

Solution

The third proportional to 407 and 841 is: 1,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 841 = 841 : x
  2. Step 2: Convert to fraction form
    407/841 = 841/x
  3. Step 3: Cross multiply
    407x = 841 × 841
  4. Step 4: Simplify right side
    407x = 707,281
  5. Step 5: Solve for x
    x = 707,281/407
  6. Step 6: Final answer
    x = 1,737.79

Related Problems

Find third proportional to 203.50 and 420.50
Half scale
Find third proportional to 814 and 1,682
Double scale
Find third proportional to 409 and 845
Similar ratio
Find third proportional to 610.50 and 1,261.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.