Home / 420,121-645,756

Finding the Third Proportional to 420,121 and 645,756

Calculator

Solution

The third proportional to 420,121 and 645,756 is: 992,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,121 : 645,756 = 645,756 : x
  2. Step 2: Convert to fraction form
    420,121/645,756 = 645,756/x
  3. Step 3: Cross multiply
    420,121x = 645,756 × 645,756
  4. Step 4: Simplify right side
    420,121x = 417,000,811,536
  5. Step 5: Solve for x
    x = 417,000,811,536/420,121
  6. Step 6: Final answer
    x = 992,573.12

Related Problems

Find third proportional to 210,060.50 and 322,878
Half scale
Find third proportional to 840,242 and 1,291,512
Double scale
Find third proportional to 420,123 and 645,759
Similar ratio
Find third proportional to 630,181.50 and 968,634
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.