Home / 206,050-434,609

Finding the Third Proportional to 206,050 and 434,609

Calculator

Solution

The third proportional to 206,050 and 434,609 is: 916,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,050 : 434,609 = 434,609 : x
  2. Step 2: Convert to fraction form
    206,050/434,609 = 434,609/x
  3. Step 3: Cross multiply
    206,050x = 434,609 × 434,609
  4. Step 4: Simplify right side
    206,050x = 188,884,982,881
  5. Step 5: Solve for x
    x = 188,884,982,881/206,050
  6. Step 6: Final answer
    x = 916,694.89

Related Problems

Find third proportional to 103,025 and 217,304.50
Half scale
Find third proportional to 412,100 and 869,218
Double scale
Find third proportional to 206,052 and 434,613
Similar ratio
Find third proportional to 309,075 and 651,913.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.