Home / 1,053-1,682

Finding the Third Proportional to 1,053 and 1,682

Calculator

Solution

The third proportional to 1,053 and 1,682 is: 2,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053 : 1,682 = 1,682 : x
  2. Step 2: Convert to fraction form
    1,053/1,682 = 1,682/x
  3. Step 3: Cross multiply
    1,053x = 1,682 × 1,682
  4. Step 4: Simplify right side
    1,053x = 2,829,124
  5. Step 5: Solve for x
    x = 2,829,124/1,053
  6. Step 6: Final answer
    x = 2,686.73

Related Problems

Find third proportional to 526.50 and 841
Half scale
Find third proportional to 2,106 and 3,364
Double scale
Find third proportional to 1,055 and 1,685
Similar ratio
Find third proportional to 1,579.50 and 2,523
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.