Home / 313,392-470,782

Finding the Third Proportional to 313,392 and 470,782

Calculator

Solution

The third proportional to 313,392 and 470,782 is: 707,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,392 : 470,782 = 470,782 : x
  2. Step 2: Convert to fraction form
    313,392/470,782 = 470,782/x
  3. Step 3: Cross multiply
    313,392x = 470,782 × 470,782
  4. Step 4: Simplify right side
    313,392x = 221,635,691,524
  5. Step 5: Solve for x
    x = 221,635,691,524/313,392
  6. Step 6: Final answer
    x = 707,215.54

Related Problems

Find third proportional to 156,696 and 235,391
Half scale
Find third proportional to 626,784 and 941,564
Double scale
Find third proportional to 313,394 and 470,785
Similar ratio
Find third proportional to 470,088 and 706,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.