Home / 293,827-643,022

Finding the Third Proportional to 293,827 and 643,022

Calculator

Solution

The third proportional to 293,827 and 643,022 is: 1,407,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,827 : 643,022 = 643,022 : x
  2. Step 2: Convert to fraction form
    293,827/643,022 = 643,022/x
  3. Step 3: Cross multiply
    293,827x = 643,022 × 643,022
  4. Step 4: Simplify right side
    293,827x = 413,477,292,484
  5. Step 5: Solve for x
    x = 413,477,292,484/293,827
  6. Step 6: Final answer
    x = 1,407,213.40

Related Problems

Find third proportional to 146,913.50 and 321,511
Half scale
Find third proportional to 587,654 and 1,286,044
Double scale
Find third proportional to 293,829 and 643,026
Similar ratio
Find third proportional to 440,740.50 and 964,533
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.