Home / 420,438-652,767

Finding the Third Proportional to 420,438 and 652,767

Calculator

Solution

The third proportional to 420,438 and 652,767 is: 1,013,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,438 : 652,767 = 652,767 : x
  2. Step 2: Convert to fraction form
    420,438/652,767 = 652,767/x
  3. Step 3: Cross multiply
    420,438x = 652,767 × 652,767
  4. Step 4: Simplify right side
    420,438x = 426,104,756,289
  5. Step 5: Solve for x
    x = 426,104,756,289/420,438
  6. Step 6: Final answer
    x = 1,013,478.22

Related Problems

Find third proportional to 210,219 and 326,383.50
Half scale
Find third proportional to 840,876 and 1,305,534
Double scale
Find third proportional to 420,440 and 652,770
Similar ratio
Find third proportional to 630,657 and 979,150.50
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.