Home / 420,138-921,912

Finding the Third Proportional to 420,138 and 921,912

Calculator

Solution

The third proportional to 420,138 and 921,912 is: 2,022,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138 : 921,912 = 921,912 : x
  2. Step 2: Convert to fraction form
    420,138/921,912 = 921,912/x
  3. Step 3: Cross multiply
    420,138x = 921,912 × 921,912
  4. Step 4: Simplify right side
    420,138x = 849,921,735,744
  5. Step 5: Solve for x
    x = 849,921,735,744/420,138
  6. Step 6: Final answer
    x = 2,022,958.49

Related Problems

Find third proportional to 210,069 and 460,956
Half scale
Find third proportional to 840,276 and 1,843,824
Double scale
Find third proportional to 420,140 and 921,916
Similar ratio
Find third proportional to 630,207 and 1,382,868
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.