Home / 505,114-784,230

Finding the Third Proportional to 505,114 and 784,230

Calculator

Solution

The third proportional to 505,114 and 784,230 is: 1,217,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,114 : 784,230 = 784,230 : x
  2. Step 2: Convert to fraction form
    505,114/784,230 = 784,230/x
  3. Step 3: Cross multiply
    505,114x = 784,230 × 784,230
  4. Step 4: Simplify right side
    505,114x = 615,016,692,900
  5. Step 5: Solve for x
    x = 615,016,692,900/505,114
  6. Step 6: Final answer
    x = 1,217,579.98

Related Problems

Find third proportional to 252,557 and 392,115
Half scale
Find third proportional to 1,010,228 and 1,568,460
Double scale
Find third proportional to 505,116 and 784,233
Similar ratio
Find third proportional to 757,671 and 1,176,345
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.