Home / 37,660-83,583

Finding the Third Proportional to 37,660 and 83,583

Calculator

Solution

The third proportional to 37,660 and 83,583 is: 185,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660 : 83,583 = 83,583 : x
  2. Step 2: Convert to fraction form
    37,660/83,583 = 83,583/x
  3. Step 3: Cross multiply
    37,660x = 83,583 × 83,583
  4. Step 4: Simplify right side
    37,660x = 6,986,117,889
  5. Step 5: Solve for x
    x = 6,986,117,889/37,660
  6. Step 6: Final answer
    x = 185,504.99

Related Problems

Find third proportional to 18,830 and 41,791.50
Half scale
Find third proportional to 75,320 and 167,166
Double scale
Find third proportional to 37,662 and 83,587
Similar ratio
Find third proportional to 56,490 and 125,374.50
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.