Home / 205,318-307,140

Finding the Third Proportional to 205,318 and 307,140

Calculator

Solution

The third proportional to 205,318 and 307,140 is: 459,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,318 : 307,140 = 307,140 : x
  2. Step 2: Convert to fraction form
    205,318/307,140 = 307,140/x
  3. Step 3: Cross multiply
    205,318x = 307,140 × 307,140
  4. Step 4: Simplify right side
    205,318x = 94,334,979,600
  5. Step 5: Solve for x
    x = 94,334,979,600/205,318
  6. Step 6: Final answer
    x = 459,457.91

Related Problems

Find third proportional to 102,659 and 153,570
Half scale
Find third proportional to 410,636 and 614,280
Double scale
Find third proportional to 205,320 and 307,143
Similar ratio
Find third proportional to 307,977 and 460,710
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.