Home / 916-1,706

Finding the Third Proportional to 916 and 1,706

Calculator

Solution

The third proportional to 916 and 1,706 is: 3,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    916 : 1,706 = 1,706 : x
  2. Step 2: Convert to fraction form
    916/1,706 = 1,706/x
  3. Step 3: Cross multiply
    916x = 1,706 × 1,706
  4. Step 4: Simplify right side
    916x = 2,910,436
  5. Step 5: Solve for x
    x = 2,910,436/916
  6. Step 6: Final answer
    x = 3,177.33

Related Problems

Find third proportional to 458 and 853
Half scale
Find third proportional to 1,832 and 3,412
Double scale
Find third proportional to 918 and 1,710
Similar ratio
Find third proportional to 1,374 and 2,559
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.