Home / 505.62-776.81

Finding the Third Proportional to 505.62 and 776.81

Calculator

Solution

The third proportional to 505.62 and 776.81 is: 1,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.62 : 776.81 = 776.81 : x
  2. Step 2: Convert to fraction form
    505.62/776.81 = 776.81/x
  3. Step 3: Cross multiply
    505.62x = 776.81 × 776.81
  4. Step 4: Simplify right side
    505.62x = 603,437.66
  5. Step 5: Solve for x
    x = 603,437.66/505.62
  6. Step 6: Final answer
    x = 1,193.47

Related Problems

Find third proportional to 252.81 and 388.41
Half scale
Find third proportional to 1,011.23 and 1,553.63
Double scale
Find third proportional to 508 and 780
Similar ratio
Find third proportional to 758.43 and 1,165.22
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.