Home / 296,412-459,664

Finding the Third Proportional to 296,412 and 459,664

Calculator

Solution

The third proportional to 296,412 and 459,664 is: 712,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,412 : 459,664 = 459,664 : x
  2. Step 2: Convert to fraction form
    296,412/459,664 = 459,664/x
  3. Step 3: Cross multiply
    296,412x = 459,664 × 459,664
  4. Step 4: Simplify right side
    296,412x = 211,290,992,896
  5. Step 5: Solve for x
    x = 211,290,992,896/296,412
  6. Step 6: Final answer
    x = 712,828.74

Related Problems

Find third proportional to 148,206 and 229,832
Half scale
Find third proportional to 592,824 and 919,328
Double scale
Find third proportional to 296,414 and 459,667
Similar ratio
Find third proportional to 444,618 and 689,496
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.