Home / 147,642-208,051

Finding the Third Proportional to 147,642 and 208,051

Calculator

Solution

The third proportional to 147,642 and 208,051 is: 293,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,642 : 208,051 = 208,051 : x
  2. Step 2: Convert to fraction form
    147,642/208,051 = 208,051/x
  3. Step 3: Cross multiply
    147,642x = 208,051 × 208,051
  4. Step 4: Simplify right side
    147,642x = 43,285,218,601
  5. Step 5: Solve for x
    x = 43,285,218,601/147,642
  6. Step 6: Final answer
    x = 293,176.86

Related Problems

Find third proportional to 73,821 and 104,025.50
Half scale
Find third proportional to 295,284 and 416,102
Double scale
Find third proportional to 147,644 and 208,054
Similar ratio
Find third proportional to 221,463 and 312,076.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.