Home / 233,414-509,074

Finding the Third Proportional to 233,414 and 509,074

Calculator

Solution

The third proportional to 233,414 and 509,074 is: 1,110,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,414 : 509,074 = 509,074 : x
  2. Step 2: Convert to fraction form
    233,414/509,074 = 509,074/x
  3. Step 3: Cross multiply
    233,414x = 509,074 × 509,074
  4. Step 4: Simplify right side
    233,414x = 259,156,337,476
  5. Step 5: Solve for x
    x = 259,156,337,476/233,414
  6. Step 6: Final answer
    x = 1,110,286.18

Related Problems

Find third proportional to 116,707 and 254,537
Half scale
Find third proportional to 466,828 and 1,018,148
Double scale
Find third proportional to 233,416 and 509,078
Similar ratio
Find third proportional to 350,121 and 763,611
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.