Home / 520.65-773.14

Finding the Third Proportional to 520.65 and 773.14

Calculator

Solution

The third proportional to 520.65 and 773.14 is: 1,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.65 : 773.14 = 773.14 : x
  2. Step 2: Convert to fraction form
    520.65/773.14 = 773.14/x
  3. Step 3: Cross multiply
    520.65x = 773.14 × 773.14
  4. Step 4: Simplify right side
    520.65x = 597,743.41
  5. Step 5: Solve for x
    x = 597,743.41/520.65
  6. Step 6: Final answer
    x = 1,148.08

Related Problems

Find third proportional to 260.32 and 386.57
Half scale
Find third proportional to 1,041.29 and 1,546.28
Double scale
Find third proportional to 523 and 776
Similar ratio
Find third proportional to 780.97 and 1,159.71
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.