Home / 206,432-290,704

Finding the Third Proportional to 206,432 and 290,704

Calculator

Solution

The third proportional to 206,432 and 290,704 is: 409,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432 : 290,704 = 290,704 : x
  2. Step 2: Convert to fraction form
    206,432/290,704 = 290,704/x
  3. Step 3: Cross multiply
    206,432x = 290,704 × 290,704
  4. Step 4: Simplify right side
    206,432x = 84,508,815,616
  5. Step 5: Solve for x
    x = 84,508,815,616/206,432
  6. Step 6: Final answer
    x = 409,378.47

Related Problems

Find third proportional to 103,216 and 145,352
Half scale
Find third proportional to 412,864 and 581,408
Double scale
Find third proportional to 206,434 and 290,707
Similar ratio
Find third proportional to 309,648 and 436,056
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.