Home / 1,017-1,239

Finding the Third Proportional to 1,017 and 1,239

Calculator

Solution

The third proportional to 1,017 and 1,239 is: 1,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017 : 1,239 = 1,239 : x
  2. Step 2: Convert to fraction form
    1,017/1,239 = 1,239/x
  3. Step 3: Cross multiply
    1,017x = 1,239 × 1,239
  4. Step 4: Simplify right side
    1,017x = 1,535,121
  5. Step 5: Solve for x
    x = 1,535,121/1,017
  6. Step 6: Final answer
    x = 1,509.46

Related Problems

Find third proportional to 508.50 and 619.50
Half scale
Find third proportional to 2,034 and 2,478
Double scale
Find third proportional to 1,019 and 1,241
Similar ratio
Find third proportional to 1,525.50 and 1,858.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.