Home / 697-1,516

Finding the Third Proportional to 697 and 1,516

Calculator

Solution

The third proportional to 697 and 1,516 is: 3,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    697 : 1,516 = 1,516 : x
  2. Step 2: Convert to fraction form
    697/1,516 = 1,516/x
  3. Step 3: Cross multiply
    697x = 1,516 × 1,516
  4. Step 4: Simplify right side
    697x = 2,298,256
  5. Step 5: Solve for x
    x = 2,298,256/697
  6. Step 6: Final answer
    x = 3,297.35

Related Problems

Find third proportional to 348.50 and 758
Half scale
Find third proportional to 1,394 and 3,032
Double scale
Find third proportional to 699 and 1,520
Similar ratio
Find third proportional to 1,045.50 and 2,274
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.