Home / 461,200-589,308

Finding the Third Proportional to 461,200 and 589,308

Calculator

Solution

The third proportional to 461,200 and 589,308 is: 753,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,200 : 589,308 = 589,308 : x
  2. Step 2: Convert to fraction form
    461,200/589,308 = 589,308/x
  3. Step 3: Cross multiply
    461,200x = 589,308 × 589,308
  4. Step 4: Simplify right side
    461,200x = 347,283,918,864
  5. Step 5: Solve for x
    x = 347,283,918,864/461,200
  6. Step 6: Final answer
    x = 753,000.69

Related Problems

Find third proportional to 230,600 and 294,654
Half scale
Find third proportional to 922,400 and 1,178,616
Double scale
Find third proportional to 461,202 and 589,311
Similar ratio
Find third proportional to 691,800 and 883,962
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.