Home / 289,472-413,567

Finding the Third Proportional to 289,472 and 413,567

Calculator

Solution

The third proportional to 289,472 and 413,567 is: 590,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,472 : 413,567 = 413,567 : x
  2. Step 2: Convert to fraction form
    289,472/413,567 = 413,567/x
  3. Step 3: Cross multiply
    289,472x = 413,567 × 413,567
  4. Step 4: Simplify right side
    289,472x = 171,037,663,489
  5. Step 5: Solve for x
    x = 171,037,663,489/289,472
  6. Step 6: Final answer
    x = 590,860.82

Related Problems

Find third proportional to 144,736 and 206,783.50
Half scale
Find third proportional to 578,944 and 827,134
Double scale
Find third proportional to 289,474 and 413,570
Similar ratio
Find third proportional to 434,208 and 620,350.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.