Home / 497.50-769.13

Finding the Third Proportional to 497.50 and 769.13

Calculator

Solution

The third proportional to 497.50 and 769.13 is: 1,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.50 : 769.13 = 769.13 : x
  2. Step 2: Convert to fraction form
    497.50/769.13 = 769.13/x
  3. Step 3: Cross multiply
    497.50x = 769.13 × 769.13
  4. Step 4: Simplify right side
    497.50x = 591,553.27
  5. Step 5: Solve for x
    x = 591,553.27/497.50
  6. Step 6: Final answer
    x = 1,189.05

Related Problems

Find third proportional to 248.75 and 384.56
Half scale
Find third proportional to 995 and 1,538.25
Double scale
Find third proportional to 500 and 772
Similar ratio
Find third proportional to 746.25 and 1,153.69
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.