Home / 1,217-1,319

Finding the Third Proportional to 1,217 and 1,319

Calculator

Solution

The third proportional to 1,217 and 1,319 is: 1,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 1,319 = 1,319 : x
  2. Step 2: Convert to fraction form
    1,217/1,319 = 1,319/x
  3. Step 3: Cross multiply
    1,217x = 1,319 × 1,319
  4. Step 4: Simplify right side
    1,217x = 1,739,761
  5. Step 5: Solve for x
    x = 1,739,761/1,217
  6. Step 6: Final answer
    x = 1,429.55

Related Problems

Find third proportional to 608.50 and 659.50
Half scale
Find third proportional to 2,434 and 2,638
Double scale
Find third proportional to 1,219 and 1,321
Similar ratio
Find third proportional to 1,825.50 and 1,978.50
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.