Home / 511.69-689.53

Finding the Third Proportional to 511.69 and 689.53

Calculator

Solution

The third proportional to 511.69 and 689.53 is: 929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 689.53 = 689.53 : x
  2. Step 2: Convert to fraction form
    511.69/689.53 = 689.53/x
  3. Step 3: Cross multiply
    511.69x = 689.53 × 689.53
  4. Step 4: Simplify right side
    511.69x = 475,453.34
  5. Step 5: Solve for x
    x = 475,453.34/511.69
  6. Step 6: Final answer
    x = 929.19

Related Problems

Find third proportional to 255.84 and 344.77
Half scale
Find third proportional to 1,023.38 and 1,379.06
Double scale
Find third proportional to 514 and 692
Similar ratio
Find third proportional to 767.53 and 1,034.30
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.