Home / 37,560-81,684

Finding the Third Proportional to 37,560 and 81,684

Calculator

Solution

The third proportional to 37,560 and 81,684 is: 177,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 81,684 = 81,684 : x
  2. Step 2: Convert to fraction form
    37,560/81,684 = 81,684/x
  3. Step 3: Cross multiply
    37,560x = 81,684 × 81,684
  4. Step 4: Simplify right side
    37,560x = 6,672,275,856
  5. Step 5: Solve for x
    x = 6,672,275,856/37,560
  6. Step 6: Final answer
    x = 177,643.13

Related Problems

Find third proportional to 18,780 and 40,842
Half scale
Find third proportional to 75,120 and 163,368
Double scale
Find third proportional to 37,562 and 81,688
Similar ratio
Find third proportional to 56,340 and 122,526
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.