Home / 270,218-585,146

Finding the Third Proportional to 270,218 and 585,146

Calculator

Solution

The third proportional to 270,218 and 585,146 is: 1,267,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,218 : 585,146 = 585,146 : x
  2. Step 2: Convert to fraction form
    270,218/585,146 = 585,146/x
  3. Step 3: Cross multiply
    270,218x = 585,146 × 585,146
  4. Step 4: Simplify right side
    270,218x = 342,395,841,316
  5. Step 5: Solve for x
    x = 342,395,841,316/270,218
  6. Step 6: Final answer
    x = 1,267,109.67

Related Problems

Find third proportional to 135,109 and 292,573
Half scale
Find third proportional to 540,436 and 1,170,292
Double scale
Find third proportional to 270,220 and 585,150
Similar ratio
Find third proportional to 405,327 and 877,719
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.