Home / 346,610-463,617

Finding the Third Proportional to 346,610 and 463,617

Calculator

Solution

The third proportional to 346,610 and 463,617 is: 620,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,610 : 463,617 = 463,617 : x
  2. Step 2: Convert to fraction form
    346,610/463,617 = 463,617/x
  3. Step 3: Cross multiply
    346,610x = 463,617 × 463,617
  4. Step 4: Simplify right side
    346,610x = 214,940,722,689
  5. Step 5: Solve for x
    x = 214,940,722,689/346,610
  6. Step 6: Final answer
    x = 620,122.68

Related Problems

Find third proportional to 173,305 and 231,808.50
Half scale
Find third proportional to 693,220 and 927,234
Double scale
Find third proportional to 346,612 and 463,620
Similar ratio
Find third proportional to 519,915 and 695,425.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.