Home / 1,012-1,289

Finding the Third Proportional to 1,012 and 1,289

Calculator

Solution

The third proportional to 1,012 and 1,289 is: 1,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012 : 1,289 = 1,289 : x
  2. Step 2: Convert to fraction form
    1,012/1,289 = 1,289/x
  3. Step 3: Cross multiply
    1,012x = 1,289 × 1,289
  4. Step 4: Simplify right side
    1,012x = 1,661,521
  5. Step 5: Solve for x
    x = 1,661,521/1,012
  6. Step 6: Final answer
    x = 1,641.82

Related Problems

Find third proportional to 506 and 644.50
Half scale
Find third proportional to 2,024 and 2,578
Double scale
Find third proportional to 1,014 and 1,292
Similar ratio
Find third proportional to 1,518 and 1,933.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.