Home / 309,791-677,902

Finding the Third Proportional to 309,791 and 677,902

Calculator

Solution

The third proportional to 309,791 and 677,902 is: 1,483,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,791 : 677,902 = 677,902 : x
  2. Step 2: Convert to fraction form
    309,791/677,902 = 677,902/x
  3. Step 3: Cross multiply
    309,791x = 677,902 × 677,902
  4. Step 4: Simplify right side
    309,791x = 459,551,121,604
  5. Step 5: Solve for x
    x = 459,551,121,604/309,791
  6. Step 6: Final answer
    x = 1,483,423.09

Related Problems

Find third proportional to 154,895.50 and 338,951
Half scale
Find third proportional to 619,582 and 1,355,804
Double scale
Find third proportional to 309,793 and 677,906
Similar ratio
Find third proportional to 464,686.50 and 1,016,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.