Home / 493-773.50

Finding the Third Proportional to 493 and 773.50

Calculator

Solution

The third proportional to 493 and 773.50 is: 1,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493 : 773.50 = 773.50 : x
  2. Step 2: Convert to fraction form
    493/773.50 = 773.50/x
  3. Step 3: Cross multiply
    493x = 773.50 × 773.50
  4. Step 4: Simplify right side
    493x = 598,302.25
  5. Step 5: Solve for x
    x = 598,302.25/493
  6. Step 6: Final answer
    x = 1,213.59

Related Problems

Find third proportional to 246.50 and 386.75
Half scale
Find third proportional to 986 and 1,547
Double scale
Find third proportional to 495 and 777
Similar ratio
Find third proportional to 739.50 and 1,160.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.