Home / 1,575-1,785

Finding the Third Proportional to 1,575 and 1,785

Calculator

Solution

The third proportional to 1,575 and 1,785 is: 2,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575 : 1,785 = 1,785 : x
  2. Step 2: Convert to fraction form
    1,575/1,785 = 1,785/x
  3. Step 3: Cross multiply
    1,575x = 1,785 × 1,785
  4. Step 4: Simplify right side
    1,575x = 3,186,225
  5. Step 5: Solve for x
    x = 3,186,225/1,575
  6. Step 6: Final answer
    x = 2,023

Related Problems

Find third proportional to 787.50 and 892.50
Half scale
Find third proportional to 3,150 and 3,570
Double scale
Find third proportional to 1,577 and 1,787
Similar ratio
Find third proportional to 2,362.50 and 2,677.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.