Home / 37.13-78.47

Finding the Third Proportional to 37.13 and 78.47

Calculator

Solution

The third proportional to 37.13 and 78.47 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.13 : 78.47 = 78.47 : x
  2. Step 2: Convert to fraction form
    37.13/78.47 = 78.47/x
  3. Step 3: Cross multiply
    37.13x = 78.47 × 78.47
  4. Step 4: Simplify right side
    37.13x = 6,157.34
  5. Step 5: Solve for x
    x = 6,157.34/37.13
  6. Step 6: Final answer
    x = 165.85

Related Problems

Find third proportional to 18.56 and 39.23
Half scale
Find third proportional to 74.25 and 156.94
Double scale
Find third proportional to 39 and 83
Similar ratio
Find third proportional to 55.69 and 117.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.