Home / 984.50-1,564.75

Finding the Third Proportional to 984.50 and 1,564.75

Calculator

Solution

The third proportional to 984.50 and 1,564.75 is: 2,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.50 : 1,564.75 = 1,564.75 : x
  2. Step 2: Convert to fraction form
    984.50/1,564.75 = 1,564.75/x
  3. Step 3: Cross multiply
    984.50x = 1,564.75 × 1,564.75
  4. Step 4: Simplify right side
    984.50x = 2,448,442.56
  5. Step 5: Solve for x
    x = 2,448,442.56/984.50
  6. Step 6: Final answer
    x = 2,486.99

Related Problems

Find third proportional to 492.25 and 782.38
Half scale
Find third proportional to 1,969 and 3,129.50
Double scale
Find third proportional to 987 and 1,568
Similar ratio
Find third proportional to 1,476.75 and 2,347.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.