Home / 350,202-509,993

Finding the Third Proportional to 350,202 and 509,993

Calculator

Solution

The third proportional to 350,202 and 509,993 is: 742,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,202 : 509,993 = 509,993 : x
  2. Step 2: Convert to fraction form
    350,202/509,993 = 509,993/x
  3. Step 3: Cross multiply
    350,202x = 509,993 × 509,993
  4. Step 4: Simplify right side
    350,202x = 260,092,860,049
  5. Step 5: Solve for x
    x = 260,092,860,049/350,202
  6. Step 6: Final answer
    x = 742,693.82

Related Problems

Find third proportional to 175,101 and 254,996.50
Half scale
Find third proportional to 700,404 and 1,019,986
Double scale
Find third proportional to 350,204 and 509,996
Similar ratio
Find third proportional to 525,303 and 764,989.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.