Home / 214,729-315,531

Finding the Third Proportional to 214,729 and 315,531

Calculator

Solution

The third proportional to 214,729 and 315,531 is: 463,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,729 : 315,531 = 315,531 : x
  2. Step 2: Convert to fraction form
    214,729/315,531 = 315,531/x
  3. Step 3: Cross multiply
    214,729x = 315,531 × 315,531
  4. Step 4: Simplify right side
    214,729x = 99,559,811,961
  5. Step 5: Solve for x
    x = 99,559,811,961/214,729
  6. Step 6: Final answer
    x = 463,653.31

Related Problems

Find third proportional to 107,364.50 and 157,765.50
Half scale
Find third proportional to 429,458 and 631,062
Double scale
Find third proportional to 214,731 and 315,534
Similar ratio
Find third proportional to 322,093.50 and 473,296.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.