Home / 31,815-47,706

Finding the Third Proportional to 31,815 and 47,706

Calculator

Solution

The third proportional to 31,815 and 47,706 is: 71,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,815 : 47,706 = 47,706 : x
  2. Step 2: Convert to fraction form
    31,815/47,706 = 47,706/x
  3. Step 3: Cross multiply
    31,815x = 47,706 × 47,706
  4. Step 4: Simplify right side
    31,815x = 2,275,862,436
  5. Step 5: Solve for x
    x = 2,275,862,436/31,815
  6. Step 6: Final answer
    x = 71,534.26

Related Problems

Find third proportional to 15,907.50 and 23,853
Half scale
Find third proportional to 63,630 and 95,412
Double scale
Find third proportional to 31,817 and 47,709
Similar ratio
Find third proportional to 47,722.50 and 71,559
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.