Home / 37,440-83,184

Finding the Third Proportional to 37,440 and 83,184

Calculator

Solution

The third proportional to 37,440 and 83,184 is: 184,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440 : 83,184 = 83,184 : x
  2. Step 2: Convert to fraction form
    37,440/83,184 = 83,184/x
  3. Step 3: Cross multiply
    37,440x = 83,184 × 83,184
  4. Step 4: Simplify right side
    37,440x = 6,919,577,856
  5. Step 5: Solve for x
    x = 6,919,577,856/37,440
  6. Step 6: Final answer
    x = 184,817.78

Related Problems

Find third proportional to 18,720 and 41,592
Half scale
Find third proportional to 74,880 and 166,368
Double scale
Find third proportional to 37,442 and 83,188
Similar ratio
Find third proportional to 56,160 and 124,776
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.