Home / 496-840

Finding the Third Proportional to 496 and 840

Calculator

Solution

The third proportional to 496 and 840 is: 1,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 840 = 840 : x
  2. Step 2: Convert to fraction form
    496/840 = 840/x
  3. Step 3: Cross multiply
    496x = 840 × 840
  4. Step 4: Simplify right side
    496x = 705,600
  5. Step 5: Solve for x
    x = 705,600/496
  6. Step 6: Final answer
    x = 1,422.58

Related Problems

Find third proportional to 248 and 420
Half scale
Find third proportional to 992 and 1,680
Double scale
Find third proportional to 498 and 843
Similar ratio
Find third proportional to 744 and 1,260
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.