Home / 305,730-463,212

Finding the Third Proportional to 305,730 and 463,212

Calculator

Solution

The third proportional to 305,730 and 463,212 is: 701,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,730 : 463,212 = 463,212 : x
  2. Step 2: Convert to fraction form
    305,730/463,212 = 463,212/x
  3. Step 3: Cross multiply
    305,730x = 463,212 × 463,212
  4. Step 4: Simplify right side
    305,730x = 214,565,356,944
  5. Step 5: Solve for x
    x = 214,565,356,944/305,730
  6. Step 6: Final answer
    x = 701,813.22

Related Problems

Find third proportional to 152,865 and 231,606
Half scale
Find third proportional to 611,460 and 926,424
Double scale
Find third proportional to 305,732 and 463,215
Similar ratio
Find third proportional to 458,595 and 694,818
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.