Home / 189,242-413,316

Finding the Third Proportional to 189,242 and 413,316

Calculator

Solution

The third proportional to 189,242 and 413,316 is: 902,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,242 : 413,316 = 413,316 : x
  2. Step 2: Convert to fraction form
    189,242/413,316 = 413,316/x
  3. Step 3: Cross multiply
    189,242x = 413,316 × 413,316
  4. Step 4: Simplify right side
    189,242x = 170,830,115,856
  5. Step 5: Solve for x
    x = 170,830,115,856/189,242
  6. Step 6: Final answer
    x = 902,707.20

Related Problems

Find third proportional to 94,621 and 206,658
Half scale
Find third proportional to 378,484 and 826,632
Double scale
Find third proportional to 189,244 and 413,320
Similar ratio
Find third proportional to 283,863 and 619,974
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.