Home / 414,531-640,116

Finding the Third Proportional to 414,531 and 640,116

Calculator

Solution

The third proportional to 414,531 and 640,116 is: 988,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,531 : 640,116 = 640,116 : x
  2. Step 2: Convert to fraction form
    414,531/640,116 = 640,116/x
  3. Step 3: Cross multiply
    414,531x = 640,116 × 640,116
  4. Step 4: Simplify right side
    414,531x = 409,748,493,456
  5. Step 5: Solve for x
    x = 409,748,493,456/414,531
  6. Step 6: Final answer
    x = 988,462.85

Related Problems

Find third proportional to 207,265.50 and 320,058
Half scale
Find third proportional to 829,062 and 1,280,232
Double scale
Find third proportional to 414,533 and 640,119
Similar ratio
Find third proportional to 621,796.50 and 960,174
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.