Home / 460-834

Finding the Third Proportional to 460 and 834

Calculator

Solution

The third proportional to 460 and 834 is: 1,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 834 = 834 : x
  2. Step 2: Convert to fraction form
    460/834 = 834/x
  3. Step 3: Cross multiply
    460x = 834 × 834
  4. Step 4: Simplify right side
    460x = 695,556
  5. Step 5: Solve for x
    x = 695,556/460
  6. Step 6: Final answer
    x = 1,512.08

Related Problems

Find third proportional to 230 and 417
Half scale
Find third proportional to 920 and 1,668
Double scale
Find third proportional to 462 and 838
Similar ratio
Find third proportional to 690 and 1,251
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.