Home / 37,503-81,582

Finding the Third Proportional to 37,503 and 81,582

Calculator

Solution

The third proportional to 37,503 and 81,582 is: 177,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,503 : 81,582 = 81,582 : x
  2. Step 2: Convert to fraction form
    37,503/81,582 = 81,582/x
  3. Step 3: Cross multiply
    37,503x = 81,582 × 81,582
  4. Step 4: Simplify right side
    37,503x = 6,655,622,724
  5. Step 5: Solve for x
    x = 6,655,622,724/37,503
  6. Step 6: Final answer
    x = 177,469.08

Related Problems

Find third proportional to 18,751.50 and 40,791
Half scale
Find third proportional to 75,006 and 163,164
Double scale
Find third proportional to 37,505 and 81,586
Similar ratio
Find third proportional to 56,254.50 and 122,373
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.