Home / 414,720-643,392

Finding the Third Proportional to 414,720 and 643,392

Calculator

Solution

The third proportional to 414,720 and 643,392 is: 998,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,720 : 643,392 = 643,392 : x
  2. Step 2: Convert to fraction form
    414,720/643,392 = 643,392/x
  3. Step 3: Cross multiply
    414,720x = 643,392 × 643,392
  4. Step 4: Simplify right side
    414,720x = 413,953,265,664
  5. Step 5: Solve for x
    x = 413,953,265,664/414,720
  6. Step 6: Final answer
    x = 998,151.20

Related Problems

Find third proportional to 207,360 and 321,696
Half scale
Find third proportional to 829,440 and 1,286,784
Double scale
Find third proportional to 414,722 and 643,395
Similar ratio
Find third proportional to 622,080 and 965,088
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.