Home / 510.66-770.06

Finding the Third Proportional to 510.66 and 770.06

Calculator

Solution

The third proportional to 510.66 and 770.06 is: 1,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.66 : 770.06 = 770.06 : x
  2. Step 2: Convert to fraction form
    510.66/770.06 = 770.06/x
  3. Step 3: Cross multiply
    510.66x = 770.06 × 770.06
  4. Step 4: Simplify right side
    510.66x = 592,996.25
  5. Step 5: Solve for x
    x = 592,996.25/510.66
  6. Step 6: Final answer
    x = 1,161.24

Related Problems

Find third proportional to 255.33 and 385.03
Half scale
Find third proportional to 1,021.31 and 1,540.13
Double scale
Find third proportional to 513 and 773
Similar ratio
Find third proportional to 765.98 and 1,155.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.