Home / 30,978-67,140

Finding the Third Proportional to 30,978 and 67,140

Calculator

Solution

The third proportional to 30,978 and 67,140 is: 145,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978 : 67,140 = 67,140 : x
  2. Step 2: Convert to fraction form
    30,978/67,140 = 67,140/x
  3. Step 3: Cross multiply
    30,978x = 67,140 × 67,140
  4. Step 4: Simplify right side
    30,978x = 4,507,779,600
  5. Step 5: Solve for x
    x = 4,507,779,600/30,978
  6. Step 6: Final answer
    x = 145,515.51

Related Problems

Find third proportional to 15,489 and 33,570
Half scale
Find third proportional to 61,956 and 134,280
Double scale
Find third proportional to 30,980 and 67,144
Similar ratio
Find third proportional to 46,467 and 100,710
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.