Home / 1,292-1,520

Finding the Third Proportional to 1,292 and 1,520

Calculator

Solution

The third proportional to 1,292 and 1,520 is: 1,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292 : 1,520 = 1,520 : x
  2. Step 2: Convert to fraction form
    1,292/1,520 = 1,520/x
  3. Step 3: Cross multiply
    1,292x = 1,520 × 1,520
  4. Step 4: Simplify right side
    1,292x = 2,310,400
  5. Step 5: Solve for x
    x = 2,310,400/1,292
  6. Step 6: Final answer
    x = 1,788.24

Related Problems

Find third proportional to 646 and 760
Half scale
Find third proportional to 2,584 and 3,040
Double scale
Find third proportional to 1,294 and 1,522
Similar ratio
Find third proportional to 1,938 and 2,280
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.