Home / 463,778-661,646

Finding the Third Proportional to 463,778 and 661,646

Calculator

Solution

The third proportional to 463,778 and 661,646 is: 943,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,778 : 661,646 = 661,646 : x
  2. Step 2: Convert to fraction form
    463,778/661,646 = 661,646/x
  3. Step 3: Cross multiply
    463,778x = 661,646 × 661,646
  4. Step 4: Simplify right side
    463,778x = 437,775,429,316
  5. Step 5: Solve for x
    x = 437,775,429,316/463,778
  6. Step 6: Final answer
    x = 943,933.15

Related Problems

Find third proportional to 231,889 and 330,823
Half scale
Find third proportional to 927,556 and 1,323,292
Double scale
Find third proportional to 463,780 and 661,649
Similar ratio
Find third proportional to 695,667 and 992,469
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.