Home / 213,987-462,534

Finding the Third Proportional to 213,987 and 462,534

Calculator

Solution

The third proportional to 213,987 and 462,534 is: 999,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,987 : 462,534 = 462,534 : x
  2. Step 2: Convert to fraction form
    213,987/462,534 = 462,534/x
  3. Step 3: Cross multiply
    213,987x = 462,534 × 462,534
  4. Step 4: Simplify right side
    213,987x = 213,937,701,156
  5. Step 5: Solve for x
    x = 213,937,701,156/213,987
  6. Step 6: Final answer
    x = 999,769.62

Related Problems

Find third proportional to 106,993.50 and 231,267
Half scale
Find third proportional to 427,974 and 925,068
Double scale
Find third proportional to 213,989 and 462,538
Similar ratio
Find third proportional to 320,980.50 and 693,801
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.