Home / 31,582-68,083

Finding the Third Proportional to 31,582 and 68,083

Calculator

Solution

The third proportional to 31,582 and 68,083 is: 146,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,582 : 68,083 = 68,083 : x
  2. Step 2: Convert to fraction form
    31,582/68,083 = 68,083/x
  3. Step 3: Cross multiply
    31,582x = 68,083 × 68,083
  4. Step 4: Simplify right side
    31,582x = 4,635,294,889
  5. Step 5: Solve for x
    x = 4,635,294,889/31,582
  6. Step 6: Final answer
    x = 146,770.15

Related Problems

Find third proportional to 15,791 and 34,041.50
Half scale
Find third proportional to 63,164 and 136,166
Double scale
Find third proportional to 31,584 and 68,087
Similar ratio
Find third proportional to 47,373 and 102,124.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.