Home / 187,821-410,147

Finding the Third Proportional to 187,821 and 410,147

Calculator

Solution

The third proportional to 187,821 and 410,147 is: 895,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,821 : 410,147 = 410,147 : x
  2. Step 2: Convert to fraction form
    187,821/410,147 = 410,147/x
  3. Step 3: Cross multiply
    187,821x = 410,147 × 410,147
  4. Step 4: Simplify right side
    187,821x = 168,220,561,609
  5. Step 5: Solve for x
    x = 168,220,561,609/187,821
  6. Step 6: Final answer
    x = 895,642.99

Related Problems

Find third proportional to 93,910.50 and 205,073.50
Half scale
Find third proportional to 375,642 and 820,294
Double scale
Find third proportional to 187,823 and 410,151
Similar ratio
Find third proportional to 281,731.50 and 615,220.50
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.