Home / 300,121-457,804

Finding the Third Proportional to 300,121 and 457,804

Calculator

Solution

The third proportional to 300,121 and 457,804 is: 698,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,121 : 457,804 = 457,804 : x
  2. Step 2: Convert to fraction form
    300,121/457,804 = 457,804/x
  3. Step 3: Cross multiply
    300,121x = 457,804 × 457,804
  4. Step 4: Simplify right side
    300,121x = 209,584,502,416
  5. Step 5: Solve for x
    x = 209,584,502,416/300,121
  6. Step 6: Final answer
    x = 698,333.35

Related Problems

Find third proportional to 150,060.50 and 228,902
Half scale
Find third proportional to 600,242 and 915,608
Double scale
Find third proportional to 300,123 and 457,807
Similar ratio
Find third proportional to 450,181.50 and 686,706
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.