Home / 419,030-648,702

Finding the Third Proportional to 419,030 and 648,702

Calculator

Solution

The third proportional to 419,030 and 648,702 is: 1,004,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,030 : 648,702 = 648,702 : x
  2. Step 2: Convert to fraction form
    419,030/648,702 = 648,702/x
  3. Step 3: Cross multiply
    419,030x = 648,702 × 648,702
  4. Step 4: Simplify right side
    419,030x = 420,814,284,804
  5. Step 5: Solve for x
    x = 420,814,284,804/419,030
  6. Step 6: Final answer
    x = 1,004,258.13

Related Problems

Find third proportional to 209,515 and 324,351
Half scale
Find third proportional to 838,060 and 1,297,404
Double scale
Find third proportional to 419,032 and 648,705
Similar ratio
Find third proportional to 628,545 and 973,053
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.