Home / 731-1,561

Finding the Third Proportional to 731 and 1,561

Calculator

Solution

The third proportional to 731 and 1,561 is: 3,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    731 : 1,561 = 1,561 : x
  2. Step 2: Convert to fraction form
    731/1,561 = 1,561/x
  3. Step 3: Cross multiply
    731x = 1,561 × 1,561
  4. Step 4: Simplify right side
    731x = 2,436,721
  5. Step 5: Solve for x
    x = 2,436,721/731
  6. Step 6: Final answer
    x = 3,333.41

Related Problems

Find third proportional to 365.50 and 780.50
Half scale
Find third proportional to 1,462 and 3,122
Double scale
Find third proportional to 733 and 1,565
Similar ratio
Find third proportional to 1,096.50 and 2,341.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.