Home / 66,978-138,312

Finding the Third Proportional to 66,978 and 138,312

Calculator

Solution

The third proportional to 66,978 and 138,312 is: 285,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 138,312 = 138,312 : x
  2. Step 2: Convert to fraction form
    66,978/138,312 = 138,312/x
  3. Step 3: Cross multiply
    66,978x = 138,312 × 138,312
  4. Step 4: Simplify right side
    66,978x = 19,130,209,344
  5. Step 5: Solve for x
    x = 19,130,209,344/66,978
  6. Step 6: Final answer
    x = 285,619.30

Related Problems

Find third proportional to 33,489 and 69,156
Half scale
Find third proportional to 133,956 and 276,624
Double scale
Find third proportional to 66,980 and 138,316
Similar ratio
Find third proportional to 100,467 and 207,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.