Home / 207,350-409,824

Finding the Third Proportional to 207,350 and 409,824

Calculator

Solution

The third proportional to 207,350 and 409,824 is: 810,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,350 : 409,824 = 409,824 : x
  2. Step 2: Convert to fraction form
    207,350/409,824 = 409,824/x
  3. Step 3: Cross multiply
    207,350x = 409,824 × 409,824
  4. Step 4: Simplify right side
    207,350x = 167,955,710,976
  5. Step 5: Solve for x
    x = 167,955,710,976/207,350
  6. Step 6: Final answer
    x = 810,010.66

Related Problems

Find third proportional to 103,675 and 204,912
Half scale
Find third proportional to 414,700 and 819,648
Double scale
Find third proportional to 207,352 and 409,828
Similar ratio
Find third proportional to 311,025 and 614,736
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.