Home / 212,787-461,031

Finding the Third Proportional to 212,787 and 461,031

Calculator

Solution

The third proportional to 212,787 and 461,031 is: 998,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,787 : 461,031 = 461,031 : x
  2. Step 2: Convert to fraction form
    212,787/461,031 = 461,031/x
  3. Step 3: Cross multiply
    212,787x = 461,031 × 461,031
  4. Step 4: Simplify right side
    212,787x = 212,549,582,961
  5. Step 5: Solve for x
    x = 212,549,582,961/212,787
  6. Step 6: Final answer
    x = 998,884.25

Related Problems

Find third proportional to 106,393.50 and 230,515.50
Half scale
Find third proportional to 425,574 and 922,062
Double scale
Find third proportional to 212,789 and 461,035
Similar ratio
Find third proportional to 319,180.50 and 691,546.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.