Home / 309,100-659,029

Finding the Third Proportional to 309,100 and 659,029

Calculator

Solution

The third proportional to 309,100 and 659,029 is: 1,405,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,100 : 659,029 = 659,029 : x
  2. Step 2: Convert to fraction form
    309,100/659,029 = 659,029/x
  3. Step 3: Cross multiply
    309,100x = 659,029 × 659,029
  4. Step 4: Simplify right side
    309,100x = 434,319,222,841
  5. Step 5: Solve for x
    x = 434,319,222,841/309,100
  6. Step 6: Final answer
    x = 1,405,109.10

Related Problems

Find third proportional to 154,550 and 329,514.50
Half scale
Find third proportional to 618,200 and 1,318,058
Double scale
Find third proportional to 309,102 and 659,033
Similar ratio
Find third proportional to 463,650 and 988,543.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.