Home / 305,741-463,228.50

Finding the Third Proportional to 305,741 and 463,228.50

Calculator

Solution

The third proportional to 305,741 and 463,228.50 is: 701,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,741 : 463,228.50 = 463,228.50 : x
  2. Step 2: Convert to fraction form
    305,741/463,228.50 = 463,228.50/x
  3. Step 3: Cross multiply
    305,741x = 463,228.50 × 463,228.50
  4. Step 4: Simplify right side
    305,741x = 214,580,643,212.25
  5. Step 5: Solve for x
    x = 214,580,643,212.25/305,741
  6. Step 6: Final answer
    x = 701,837.97

Related Problems

Find third proportional to 152,870.50 and 231,614.25
Half scale
Find third proportional to 611,482 and 926,457
Double scale
Find third proportional to 305,743 and 463,232
Similar ratio
Find third proportional to 458,611.50 and 694,842.75
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.