Home / 54,684-85,670

Finding the Third Proportional to 54,684 and 85,670

Calculator

Solution

The third proportional to 54,684 and 85,670 is: 134,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 85,670 = 85,670 : x
  2. Step 2: Convert to fraction form
    54,684/85,670 = 85,670/x
  3. Step 3: Cross multiply
    54,684x = 85,670 × 85,670
  4. Step 4: Simplify right side
    54,684x = 7,339,348,900
  5. Step 5: Solve for x
    x = 7,339,348,900/54,684
  6. Step 6: Final answer
    x = 134,213.83

Related Problems

Find third proportional to 27,342 and 42,835
Half scale
Find third proportional to 109,368 and 171,340
Double scale
Find third proportional to 54,686 and 85,673
Similar ratio
Find third proportional to 82,026 and 128,505
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.