Home / 21,006-31,509

Finding the Third Proportional to 21,006 and 31,509

Calculator

Solution

The third proportional to 21,006 and 31,509 is: 47,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006 : 31,509 = 31,509 : x
  2. Step 2: Convert to fraction form
    21,006/31,509 = 31,509/x
  3. Step 3: Cross multiply
    21,006x = 31,509 × 31,509
  4. Step 4: Simplify right side
    21,006x = 992,817,081
  5. Step 5: Solve for x
    x = 992,817,081/21,006
  6. Step 6: Final answer
    x = 47,263.50

Related Problems

Find third proportional to 10,503 and 15,754.50
Half scale
Find third proportional to 42,012 and 63,018
Double scale
Find third proportional to 21,008 and 31,512
Similar ratio
Find third proportional to 31,509 and 47,263.50
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.