Home / 610-814

Finding the Third Proportional to 610 and 814

Calculator

Solution

The third proportional to 610 and 814 is: 1,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 814 = 814 : x
  2. Step 2: Convert to fraction form
    610/814 = 814/x
  3. Step 3: Cross multiply
    610x = 814 × 814
  4. Step 4: Simplify right side
    610x = 662,596
  5. Step 5: Solve for x
    x = 662,596/610
  6. Step 6: Final answer
    x = 1,086.22

Related Problems

Find third proportional to 305 and 407
Half scale
Find third proportional to 1,220 and 1,628
Double scale
Find third proportional to 612 and 817
Similar ratio
Find third proportional to 915 and 1,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.