Home / 299,319-464,720

Finding the Third Proportional to 299,319 and 464,720

Calculator

Solution

The third proportional to 299,319 and 464,720 is: 721,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,319 : 464,720 = 464,720 : x
  2. Step 2: Convert to fraction form
    299,319/464,720 = 464,720/x
  3. Step 3: Cross multiply
    299,319x = 464,720 × 464,720
  4. Step 4: Simplify right side
    299,319x = 215,964,678,400
  5. Step 5: Solve for x
    x = 215,964,678,400/299,319
  6. Step 6: Final answer
    x = 721,520.11

Related Problems

Find third proportional to 149,659.50 and 232,360
Half scale
Find third proportional to 598,638 and 929,440
Double scale
Find third proportional to 299,321 and 464,723
Similar ratio
Find third proportional to 448,978.50 and 697,080
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.