Home / 305,422-466,031

Finding the Third Proportional to 305,422 and 466,031

Calculator

Solution

The third proportional to 305,422 and 466,031 is: 711,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,422 : 466,031 = 466,031 : x
  2. Step 2: Convert to fraction form
    305,422/466,031 = 466,031/x
  3. Step 3: Cross multiply
    305,422x = 466,031 × 466,031
  4. Step 4: Simplify right side
    305,422x = 217,184,892,961
  5. Step 5: Solve for x
    x = 217,184,892,961/305,422
  6. Step 6: Final answer
    x = 711,097.74

Related Problems

Find third proportional to 152,711 and 233,015.50
Half scale
Find third proportional to 610,844 and 932,062
Double scale
Find third proportional to 305,424 and 466,034
Similar ratio
Find third proportional to 458,133 and 699,046.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.