Home / 319,086-691,004

Finding the Third Proportional to 319,086 and 691,004

Calculator

Solution

The third proportional to 319,086 and 691,004 is: 1,496,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,086 : 691,004 = 691,004 : x
  2. Step 2: Convert to fraction form
    319,086/691,004 = 691,004/x
  3. Step 3: Cross multiply
    319,086x = 691,004 × 691,004
  4. Step 4: Simplify right side
    319,086x = 477,486,528,016
  5. Step 5: Solve for x
    x = 477,486,528,016/319,086
  6. Step 6: Final answer
    x = 1,496,419.55

Related Problems

Find third proportional to 159,543 and 345,502
Half scale
Find third proportional to 638,172 and 1,382,008
Double scale
Find third proportional to 319,088 and 691,008
Similar ratio
Find third proportional to 478,629 and 1,036,506
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.