Home / 194,614-421,214

Finding the Third Proportional to 194,614 and 421,214

Calculator

Solution

The third proportional to 194,614 and 421,214 is: 911,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,614 : 421,214 = 421,214 : x
  2. Step 2: Convert to fraction form
    194,614/421,214 = 421,214/x
  3. Step 3: Cross multiply
    194,614x = 421,214 × 421,214
  4. Step 4: Simplify right side
    194,614x = 177,421,233,796
  5. Step 5: Solve for x
    x = 177,421,233,796/194,614
  6. Step 6: Final answer
    x = 911,657.09

Related Problems

Find third proportional to 97,307 and 210,607
Half scale
Find third proportional to 389,228 and 842,428
Double scale
Find third proportional to 194,616 and 421,218
Similar ratio
Find third proportional to 291,921 and 631,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.