Home / 326,299-459,509

Finding the Third Proportional to 326,299 and 459,509

Calculator

Solution

The third proportional to 326,299 and 459,509 is: 647,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,299 : 459,509 = 459,509 : x
  2. Step 2: Convert to fraction form
    326,299/459,509 = 459,509/x
  3. Step 3: Cross multiply
    326,299x = 459,509 × 459,509
  4. Step 4: Simplify right side
    326,299x = 211,148,521,081
  5. Step 5: Solve for x
    x = 211,148,521,081/326,299
  6. Step 6: Final answer
    x = 647,101.34

Related Problems

Find third proportional to 163,149.50 and 229,754.50
Half scale
Find third proportional to 652,598 and 919,018
Double scale
Find third proportional to 326,301 and 459,512
Similar ratio
Find third proportional to 489,448.50 and 689,263.50
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.