Home / 284,572-412,168

Finding the Third Proportional to 284,572 and 412,168

Calculator

Solution

The third proportional to 284,572 and 412,168 is: 596,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,572 : 412,168 = 412,168 : x
  2. Step 2: Convert to fraction form
    284,572/412,168 = 412,168/x
  3. Step 3: Cross multiply
    284,572x = 412,168 × 412,168
  4. Step 4: Simplify right side
    284,572x = 169,882,460,224
  5. Step 5: Solve for x
    x = 169,882,460,224/284,572
  6. Step 6: Final answer
    x = 596,975.32

Related Problems

Find third proportional to 142,286 and 206,084
Half scale
Find third proportional to 569,144 and 824,336
Double scale
Find third proportional to 284,574 and 412,171
Similar ratio
Find third proportional to 426,858 and 618,252
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.