Home / 313,864-471,498

Finding the Third Proportional to 313,864 and 471,498

Calculator

Solution

The third proportional to 313,864 and 471,498 is: 708,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,864 : 471,498 = 471,498 : x
  2. Step 2: Convert to fraction form
    313,864/471,498 = 471,498/x
  3. Step 3: Cross multiply
    313,864x = 471,498 × 471,498
  4. Step 4: Simplify right side
    313,864x = 222,310,364,004
  5. Step 5: Solve for x
    x = 222,310,364,004/313,864
  6. Step 6: Final answer
    x = 708,301.57

Related Problems

Find third proportional to 156,932 and 235,749
Half scale
Find third proportional to 627,728 and 942,996
Double scale
Find third proportional to 313,866 and 471,501
Similar ratio
Find third proportional to 470,796 and 707,247
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.