Home / 340,209-500,471

Finding the Third Proportional to 340,209 and 500,471

Calculator

Solution

The third proportional to 340,209 and 500,471 is: 736,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,209 : 500,471 = 500,471 : x
  2. Step 2: Convert to fraction form
    340,209/500,471 = 500,471/x
  3. Step 3: Cross multiply
    340,209x = 500,471 × 500,471
  4. Step 4: Simplify right side
    340,209x = 250,471,221,841
  5. Step 5: Solve for x
    x = 250,471,221,841/340,209
  6. Step 6: Final answer
    x = 736,227.50

Related Problems

Find third proportional to 170,104.50 and 250,235.50
Half scale
Find third proportional to 680,418 and 1,000,942
Double scale
Find third proportional to 340,211 and 500,474
Similar ratio
Find third proportional to 510,313.50 and 750,706.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.