Home / 270,647-420,702

Finding the Third Proportional to 270,647 and 420,702

Calculator

Solution

The third proportional to 270,647 and 420,702 is: 653,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,647 : 420,702 = 420,702 : x
  2. Step 2: Convert to fraction form
    270,647/420,702 = 420,702/x
  3. Step 3: Cross multiply
    270,647x = 420,702 × 420,702
  4. Step 4: Simplify right side
    270,647x = 176,990,172,804
  5. Step 5: Solve for x
    x = 176,990,172,804/270,647
  6. Step 6: Final answer
    x = 653,952.10

Related Problems

Find third proportional to 135,323.50 and 210,351
Half scale
Find third proportional to 541,294 and 841,404
Double scale
Find third proportional to 270,649 and 420,705
Similar ratio
Find third proportional to 405,970.50 and 631,053
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.