Home / 92,782-206,813

Finding the Third Proportional to 92,782 and 206,813

Calculator

Solution

The third proportional to 92,782 and 206,813 is: 460,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,782 : 206,813 = 206,813 : x
  2. Step 2: Convert to fraction form
    92,782/206,813 = 206,813/x
  3. Step 3: Cross multiply
    92,782x = 206,813 × 206,813
  4. Step 4: Simplify right side
    92,782x = 42,771,616,969
  5. Step 5: Solve for x
    x = 42,771,616,969/92,782
  6. Step 6: Final answer
    x = 460,990.46

Related Problems

Find third proportional to 46,391 and 103,406.50
Half scale
Find third proportional to 185,564 and 413,626
Double scale
Find third proportional to 92,784 and 206,817
Similar ratio
Find third proportional to 139,173 and 310,219.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.