Home / 306,642-422,253

Finding the Third Proportional to 306,642 and 422,253

Calculator

Solution

The third proportional to 306,642 and 422,253 is: 581,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642 : 422,253 = 422,253 : x
  2. Step 2: Convert to fraction form
    306,642/422,253 = 422,253/x
  3. Step 3: Cross multiply
    306,642x = 422,253 × 422,253
  4. Step 4: Simplify right side
    306,642x = 178,297,596,009
  5. Step 5: Solve for x
    x = 178,297,596,009/306,642
  6. Step 6: Final answer
    x = 581,451.97

Related Problems

Find third proportional to 153,321 and 211,126.50
Half scale
Find third proportional to 613,284 and 844,506
Double scale
Find third proportional to 306,644 and 422,256
Similar ratio
Find third proportional to 459,963 and 633,379.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.