Home / 210,065-460,948

Finding the Third Proportional to 210,065 and 460,948

Calculator

Solution

The third proportional to 210,065 and 460,948 is: 1,011,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,065 : 460,948 = 460,948 : x
  2. Step 2: Convert to fraction form
    210,065/460,948 = 460,948/x
  3. Step 3: Cross multiply
    210,065x = 460,948 × 460,948
  4. Step 4: Simplify right side
    210,065x = 212,473,058,704
  5. Step 5: Solve for x
    x = 212,473,058,704/210,065
  6. Step 6: Final answer
    x = 1,011,463.40

Related Problems

Find third proportional to 105,032.50 and 230,474
Half scale
Find third proportional to 420,130 and 921,896
Double scale
Find third proportional to 210,067 and 460,952
Similar ratio
Find third proportional to 315,097.50 and 691,422
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.