Home / 827-1,431

Finding the Third Proportional to 827 and 1,431

Calculator

Solution

The third proportional to 827 and 1,431 is: 2,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,431 = 1,431 : x
  2. Step 2: Convert to fraction form
    827/1,431 = 1,431/x
  3. Step 3: Cross multiply
    827x = 1,431 × 1,431
  4. Step 4: Simplify right side
    827x = 2,047,761
  5. Step 5: Solve for x
    x = 2,047,761/827
  6. Step 6: Final answer
    x = 2,476.13

Related Problems

Find third proportional to 413.50 and 715.50
Half scale
Find third proportional to 1,654 and 2,862
Double scale
Find third proportional to 829 and 1,434
Similar ratio
Find third proportional to 1,240.50 and 2,146.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.