Home / 201,710-312,320

Finding the Third Proportional to 201,710 and 312,320

Calculator

Solution

The third proportional to 201,710 and 312,320 is: 483,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710 : 312,320 = 312,320 : x
  2. Step 2: Convert to fraction form
    201,710/312,320 = 312,320/x
  3. Step 3: Cross multiply
    201,710x = 312,320 × 312,320
  4. Step 4: Simplify right side
    201,710x = 97,543,782,400
  5. Step 5: Solve for x
    x = 97,543,782,400/201,710
  6. Step 6: Final answer
    x = 483,584.27

Related Problems

Find third proportional to 100,855 and 156,160
Half scale
Find third proportional to 403,420 and 624,640
Double scale
Find third proportional to 201,712 and 312,323
Similar ratio
Find third proportional to 302,565 and 468,480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.