Home / 505,105-784,217

Finding the Third Proportional to 505,105 and 784,217

Calculator

Solution

The third proportional to 505,105 and 784,217 is: 1,217,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,105 : 784,217 = 784,217 : x
  2. Step 2: Convert to fraction form
    505,105/784,217 = 784,217/x
  3. Step 3: Cross multiply
    505,105x = 784,217 × 784,217
  4. Step 4: Simplify right side
    505,105x = 614,996,303,089
  5. Step 5: Solve for x
    x = 614,996,303,089/505,105
  6. Step 6: Final answer
    x = 1,217,561.31

Related Problems

Find third proportional to 252,552.50 and 392,108.50
Half scale
Find third proportional to 1,010,210 and 1,568,434
Double scale
Find third proportional to 505,107 and 784,220
Similar ratio
Find third proportional to 757,657.50 and 1,176,325.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.