Home / 299,667-421,536

Finding the Third Proportional to 299,667 and 421,536

Calculator

Solution

The third proportional to 299,667 and 421,536 is: 592,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,667 : 421,536 = 421,536 : x
  2. Step 2: Convert to fraction form
    299,667/421,536 = 421,536/x
  3. Step 3: Cross multiply
    299,667x = 421,536 × 421,536
  4. Step 4: Simplify right side
    299,667x = 177,692,599,296
  5. Step 5: Solve for x
    x = 177,692,599,296/299,667
  6. Step 6: Final answer
    x = 592,966.86

Related Problems

Find third proportional to 149,833.50 and 210,768
Half scale
Find third proportional to 599,334 and 843,072
Double scale
Find third proportional to 299,669 and 421,539
Similar ratio
Find third proportional to 449,500.50 and 632,304
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.