Home / 557.50-827.75

Finding the Third Proportional to 557.50 and 827.75

Calculator

Solution

The third proportional to 557.50 and 827.75 is: 1,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 827.75 = 827.75 : x
  2. Step 2: Convert to fraction form
    557.50/827.75 = 827.75/x
  3. Step 3: Cross multiply
    557.50x = 827.75 × 827.75
  4. Step 4: Simplify right side
    557.50x = 685,170.06
  5. Step 5: Solve for x
    x = 685,170.06/557.50
  6. Step 6: Final answer
    x = 1,229.00

Related Problems

Find third proportional to 278.75 and 413.88
Half scale
Find third proportional to 1,115 and 1,655.50
Double scale
Find third proportional to 560 and 831
Similar ratio
Find third proportional to 836.25 and 1,241.63
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.