Home / 31,606-47,609

Finding the Third Proportional to 31,606 and 47,609

Calculator

Solution

The third proportional to 31,606 and 47,609 is: 71,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606 : 47,609 = 47,609 : x
  2. Step 2: Convert to fraction form
    31,606/47,609 = 47,609/x
  3. Step 3: Cross multiply
    31,606x = 47,609 × 47,609
  4. Step 4: Simplify right side
    31,606x = 2,266,616,881
  5. Step 5: Solve for x
    x = 2,266,616,881/31,606
  6. Step 6: Final answer
    x = 71,714.77

Related Problems

Find third proportional to 15,803 and 23,804.50
Half scale
Find third proportional to 63,212 and 95,218
Double scale
Find third proportional to 31,608 and 47,612
Similar ratio
Find third proportional to 47,409 and 71,413.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.