Home / 31,611-69,586

Finding the Third Proportional to 31,611 and 69,586

Calculator

Solution

The third proportional to 31,611 and 69,586 is: 153,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611 : 69,586 = 69,586 : x
  2. Step 2: Convert to fraction form
    31,611/69,586 = 69,586/x
  3. Step 3: Cross multiply
    31,611x = 69,586 × 69,586
  4. Step 4: Simplify right side
    31,611x = 4,842,211,396
  5. Step 5: Solve for x
    x = 4,842,211,396/31,611
  6. Step 6: Final answer
    x = 153,181.22

Related Problems

Find third proportional to 15,805.50 and 34,793
Half scale
Find third proportional to 63,222 and 139,172
Double scale
Find third proportional to 31,613 and 69,590
Similar ratio
Find third proportional to 47,416.50 and 104,379
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.