Home / 77,978-111,135

Finding the Third Proportional to 77,978 and 111,135

Calculator

Solution

The third proportional to 77,978 and 111,135 is: 158,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978 : 111,135 = 111,135 : x
  2. Step 2: Convert to fraction form
    77,978/111,135 = 111,135/x
  3. Step 3: Cross multiply
    77,978x = 111,135 × 111,135
  4. Step 4: Simplify right side
    77,978x = 12,350,988,225
  5. Step 5: Solve for x
    x = 12,350,988,225/77,978
  6. Step 6: Final answer
    x = 158,390.68

Related Problems

Find third proportional to 38,989 and 55,567.50
Half scale
Find third proportional to 155,956 and 222,270
Double scale
Find third proportional to 77,980 and 111,138
Similar ratio
Find third proportional to 116,967 and 166,702.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.