Home / 37,186-78,276

Finding the Third Proportional to 37,186 and 78,276

Calculator

Solution

The third proportional to 37,186 and 78,276 is: 164,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186 : 78,276 = 78,276 : x
  2. Step 2: Convert to fraction form
    37,186/78,276 = 78,276/x
  3. Step 3: Cross multiply
    37,186x = 78,276 × 78,276
  4. Step 4: Simplify right side
    37,186x = 6,127,132,176
  5. Step 5: Solve for x
    x = 6,127,132,176/37,186
  6. Step 6: Final answer
    x = 164,769.86

Related Problems

Find third proportional to 18,593 and 39,138
Half scale
Find third proportional to 74,372 and 156,552
Double scale
Find third proportional to 37,188 and 78,280
Similar ratio
Find third proportional to 55,779 and 117,414
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.