Home / 71,430-106,796

Finding the Third Proportional to 71,430 and 106,796

Calculator

Solution

The third proportional to 71,430 and 106,796 is: 159,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,430 : 106,796 = 106,796 : x
  2. Step 2: Convert to fraction form
    71,430/106,796 = 106,796/x
  3. Step 3: Cross multiply
    71,430x = 106,796 × 106,796
  4. Step 4: Simplify right side
    71,430x = 11,405,385,616
  5. Step 5: Solve for x
    x = 11,405,385,616/71,430
  6. Step 6: Final answer
    x = 159,672.21

Related Problems

Find third proportional to 35,715 and 53,398
Half scale
Find third proportional to 142,860 and 213,592
Double scale
Find third proportional to 71,432 and 106,799
Similar ratio
Find third proportional to 107,145 and 160,194
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.