Home / 842.50-1,829.50

Finding the Third Proportional to 842.50 and 1,829.50

Calculator

Solution

The third proportional to 842.50 and 1,829.50 is: 3,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.50 : 1,829.50 = 1,829.50 : x
  2. Step 2: Convert to fraction form
    842.50/1,829.50 = 1,829.50/x
  3. Step 3: Cross multiply
    842.50x = 1,829.50 × 1,829.50
  4. Step 4: Simplify right side
    842.50x = 3,347,070.25
  5. Step 5: Solve for x
    x = 3,347,070.25/842.50
  6. Step 6: Final answer
    x = 3,972.78

Related Problems

Find third proportional to 421.25 and 914.75
Half scale
Find third proportional to 1,685 and 3,659
Double scale
Find third proportional to 845 and 1,834
Similar ratio
Find third proportional to 1,263.75 and 2,744.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.