Home / 211,712-452,948

Finding the Third Proportional to 211,712 and 452,948

Calculator

Solution

The third proportional to 211,712 and 452,948 is: 969,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,712 : 452,948 = 452,948 : x
  2. Step 2: Convert to fraction form
    211,712/452,948 = 452,948/x
  3. Step 3: Cross multiply
    211,712x = 452,948 × 452,948
  4. Step 4: Simplify right side
    211,712x = 205,161,890,704
  5. Step 5: Solve for x
    x = 205,161,890,704/211,712
  6. Step 6: Final answer
    x = 969,061.23

Related Problems

Find third proportional to 105,856 and 226,474
Half scale
Find third proportional to 423,424 and 905,896
Double scale
Find third proportional to 211,714 and 452,952
Similar ratio
Find third proportional to 317,568 and 679,422
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.