Home / 460-689

Finding the Third Proportional to 460 and 689

Calculator

Solution

The third proportional to 460 and 689 is: 1,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 689 = 689 : x
  2. Step 2: Convert to fraction form
    460/689 = 689/x
  3. Step 3: Cross multiply
    460x = 689 × 689
  4. Step 4: Simplify right side
    460x = 474,721
  5. Step 5: Solve for x
    x = 474,721/460
  6. Step 6: Final answer
    x = 1,032.00

Related Problems

Find third proportional to 230 and 344.50
Half scale
Find third proportional to 920 and 1,378
Double scale
Find third proportional to 462 and 692
Similar ratio
Find third proportional to 690 and 1,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.