Home / 181,440-398,304

Finding the Third Proportional to 181,440 and 398,304

Calculator

Solution

The third proportional to 181,440 and 398,304 is: 874,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 398,304 = 398,304 : x
  2. Step 2: Convert to fraction form
    181,440/398,304 = 398,304/x
  3. Step 3: Cross multiply
    181,440x = 398,304 × 398,304
  4. Step 4: Simplify right side
    181,440x = 158,646,076,416
  5. Step 5: Solve for x
    x = 158,646,076,416/181,440
  6. Step 6: Final answer
    x = 874,372.11

Related Problems

Find third proportional to 90,720 and 199,152
Half scale
Find third proportional to 362,880 and 796,608
Double scale
Find third proportional to 181,442 and 398,308
Similar ratio
Find third proportional to 272,160 and 597,456
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.