Home / 37,098-82,503

Finding the Third Proportional to 37,098 and 82,503

Calculator

Solution

The third proportional to 37,098 and 82,503 is: 183,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 82,503 = 82,503 : x
  2. Step 2: Convert to fraction form
    37,098/82,503 = 82,503/x
  3. Step 3: Cross multiply
    37,098x = 82,503 × 82,503
  4. Step 4: Simplify right side
    37,098x = 6,806,745,009
  5. Step 5: Solve for x
    x = 6,806,745,009/37,098
  6. Step 6: Final answer
    x = 183,480.11

Related Problems

Find third proportional to 18,549 and 41,251.50
Half scale
Find third proportional to 74,196 and 165,006
Double scale
Find third proportional to 37,100 and 82,507
Similar ratio
Find third proportional to 55,647 and 123,754.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.