Home / 652.50-1,409.63

Finding the Third Proportional to 652.50 and 1,409.63

Calculator

Solution

The third proportional to 652.50 and 1,409.63 is: 3,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 1,409.63 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    652.50/1,409.63 = 1,409.63/x
  3. Step 3: Cross multiply
    652.50x = 1,409.63 × 1,409.63
  4. Step 4: Simplify right side
    652.50x = 1,987,042.64
  5. Step 5: Solve for x
    x = 1,987,042.64/652.50
  6. Step 6: Final answer
    x = 3,045.28

Related Problems

Find third proportional to 326.25 and 704.81
Half scale
Find third proportional to 1,305 and 2,819.25
Double scale
Find third proportional to 655 and 1,414
Similar ratio
Find third proportional to 978.75 and 2,114.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.