Home / 210,472-461,691

Finding the Third Proportional to 210,472 and 461,691

Calculator

Solution

The third proportional to 210,472 and 461,691 is: 1,012,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,472 : 461,691 = 461,691 : x
  2. Step 2: Convert to fraction form
    210,472/461,691 = 461,691/x
  3. Step 3: Cross multiply
    210,472x = 461,691 × 461,691
  4. Step 4: Simplify right side
    210,472x = 213,158,579,481
  5. Step 5: Solve for x
    x = 213,158,579,481/210,472
  6. Step 6: Final answer
    x = 1,012,764.55

Related Problems

Find third proportional to 105,236 and 230,845.50
Half scale
Find third proportional to 420,944 and 923,382
Double scale
Find third proportional to 210,474 and 461,695
Similar ratio
Find third proportional to 315,708 and 692,536.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.