Home / 13,520-31,586

Finding the Third Proportional to 13,520 and 31,586

Calculator

Solution

The third proportional to 13,520 and 31,586 is: 73,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 31,586 = 31,586 : x
  2. Step 2: Convert to fraction form
    13,520/31,586 = 31,586/x
  3. Step 3: Cross multiply
    13,520x = 31,586 × 31,586
  4. Step 4: Simplify right side
    13,520x = 997,675,396
  5. Step 5: Solve for x
    x = 997,675,396/13,520
  6. Step 6: Final answer
    x = 73,792.56

Related Problems

Find third proportional to 6,760 and 15,793
Half scale
Find third proportional to 27,040 and 63,172
Double scale
Find third proportional to 13,522 and 31,591
Similar ratio
Find third proportional to 20,280 and 47,379
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.