Home / 415,311-650,649

Finding the Third Proportional to 415,311 and 650,649

Calculator

Solution

The third proportional to 415,311 and 650,649 is: 1,019,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,311 : 650,649 = 650,649 : x
  2. Step 2: Convert to fraction form
    415,311/650,649 = 650,649/x
  3. Step 3: Cross multiply
    415,311x = 650,649 × 650,649
  4. Step 4: Simplify right side
    415,311x = 423,344,121,201
  5. Step 5: Solve for x
    x = 423,344,121,201/415,311
  6. Step 6: Final answer
    x = 1,019,342.42

Related Problems

Find third proportional to 207,655.50 and 325,324.50
Half scale
Find third proportional to 830,622 and 1,301,298
Double scale
Find third proportional to 415,313 and 650,652
Similar ratio
Find third proportional to 622,966.50 and 975,973.50
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.