Home / 433,986-657,099

Finding the Third Proportional to 433,986 and 657,099

Calculator

Solution

The third proportional to 433,986 and 657,099 is: 994,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,986 : 657,099 = 657,099 : x
  2. Step 2: Convert to fraction form
    433,986/657,099 = 657,099/x
  3. Step 3: Cross multiply
    433,986x = 657,099 × 657,099
  4. Step 4: Simplify right side
    433,986x = 431,779,095,801
  5. Step 5: Solve for x
    x = 431,779,095,801/433,986
  6. Step 6: Final answer
    x = 994,914.80

Related Problems

Find third proportional to 216,993 and 328,549.50
Half scale
Find third proportional to 867,972 and 1,314,198
Double scale
Find third proportional to 433,988 and 657,102
Similar ratio
Find third proportional to 650,979 and 985,648.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.