Home / 1,652-1,786

Finding the Third Proportional to 1,652 and 1,786

Calculator

Solution

The third proportional to 1,652 and 1,786 is: 1,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652 : 1,786 = 1,786 : x
  2. Step 2: Convert to fraction form
    1,652/1,786 = 1,786/x
  3. Step 3: Cross multiply
    1,652x = 1,786 × 1,786
  4. Step 4: Simplify right side
    1,652x = 3,189,796
  5. Step 5: Solve for x
    x = 3,189,796/1,652
  6. Step 6: Final answer
    x = 1,930.87

Related Problems

Find third proportional to 826 and 893
Half scale
Find third proportional to 3,304 and 3,572
Double scale
Find third proportional to 1,654 and 1,788
Similar ratio
Find third proportional to 2,478 and 2,679
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.