Home / 700-827.50

Finding the Third Proportional to 700 and 827.50

Calculator

Solution

The third proportional to 700 and 827.50 is: 978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 827.50 = 827.50 : x
  2. Step 2: Convert to fraction form
    700/827.50 = 827.50/x
  3. Step 3: Cross multiply
    700x = 827.50 × 827.50
  4. Step 4: Simplify right side
    700x = 684,756.25
  5. Step 5: Solve for x
    x = 684,756.25/700
  6. Step 6: Final answer
    x = 978.22

Related Problems

Find third proportional to 350 and 413.75
Half scale
Find third proportional to 1,400 and 1,655
Double scale
Find third proportional to 702 and 830
Similar ratio
Find third proportional to 1,050 and 1,241.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.