Home / 420,106-921,854

Finding the Third Proportional to 420,106 and 921,854

Calculator

Solution

The third proportional to 420,106 and 921,854 is: 2,022,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,106 : 921,854 = 921,854 : x
  2. Step 2: Convert to fraction form
    420,106/921,854 = 921,854/x
  3. Step 3: Cross multiply
    420,106x = 921,854 × 921,854
  4. Step 4: Simplify right side
    420,106x = 849,814,797,316
  5. Step 5: Solve for x
    x = 849,814,797,316/420,106
  6. Step 6: Final answer
    x = 2,022,858.03

Related Problems

Find third proportional to 210,053 and 460,927
Half scale
Find third proportional to 840,212 and 1,843,708
Double scale
Find third proportional to 420,108 and 921,858
Similar ratio
Find third proportional to 630,159 and 1,382,781
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.