Home / 451,983-683,807

Finding the Third Proportional to 451,983 and 683,807

Calculator

Solution

The third proportional to 451,983 and 683,807 is: 1,034,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,983 : 683,807 = 683,807 : x
  2. Step 2: Convert to fraction form
    451,983/683,807 = 683,807/x
  3. Step 3: Cross multiply
    451,983x = 683,807 × 683,807
  4. Step 4: Simplify right side
    451,983x = 467,592,013,249
  5. Step 5: Solve for x
    x = 467,592,013,249/451,983
  6. Step 6: Final answer
    x = 1,034,534.51

Related Problems

Find third proportional to 225,991.50 and 341,903.50
Half scale
Find third proportional to 903,966 and 1,367,614
Double scale
Find third proportional to 451,985 and 683,810
Similar ratio
Find third proportional to 677,974.50 and 1,025,710.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.