Home / 333,414-690,156

Finding the Third Proportional to 333,414 and 690,156

Calculator

Solution

The third proportional to 333,414 and 690,156 is: 1,428,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,414 : 690,156 = 690,156 : x
  2. Step 2: Convert to fraction form
    333,414/690,156 = 690,156/x
  3. Step 3: Cross multiply
    333,414x = 690,156 × 690,156
  4. Step 4: Simplify right side
    333,414x = 476,315,304,336
  5. Step 5: Solve for x
    x = 476,315,304,336/333,414
  6. Step 6: Final answer
    x = 1,428,600.19

Related Problems

Find third proportional to 166,707 and 345,078
Half scale
Find third proportional to 666,828 and 1,380,312
Double scale
Find third proportional to 333,416 and 690,160
Similar ratio
Find third proportional to 500,121 and 1,035,234
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.