Home / 1,653-1,785

Finding the Third Proportional to 1,653 and 1,785

Calculator

Solution

The third proportional to 1,653 and 1,785 is: 1,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653 : 1,785 = 1,785 : x
  2. Step 2: Convert to fraction form
    1,653/1,785 = 1,785/x
  3. Step 3: Cross multiply
    1,653x = 1,785 × 1,785
  4. Step 4: Simplify right side
    1,653x = 3,186,225
  5. Step 5: Solve for x
    x = 3,186,225/1,653
  6. Step 6: Final answer
    x = 1,927.54

Related Problems

Find third proportional to 826.50 and 892.50
Half scale
Find third proportional to 3,306 and 3,570
Double scale
Find third proportional to 1,655 and 1,787
Similar ratio
Find third proportional to 2,479.50 and 2,677.50
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.