Home / 1,145-1,557

Finding the Third Proportional to 1,145 and 1,557

Calculator

Solution

The third proportional to 1,145 and 1,557 is: 2,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145 : 1,557 = 1,557 : x
  2. Step 2: Convert to fraction form
    1,145/1,557 = 1,557/x
  3. Step 3: Cross multiply
    1,145x = 1,557 × 1,557
  4. Step 4: Simplify right side
    1,145x = 2,424,249
  5. Step 5: Solve for x
    x = 2,424,249/1,145
  6. Step 6: Final answer
    x = 2,117.25

Related Problems

Find third proportional to 572.50 and 778.50
Half scale
Find third proportional to 2,290 and 3,114
Double scale
Find third proportional to 1,147 and 1,560
Similar ratio
Find third proportional to 1,717.50 and 2,335.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.