Home / 459,824-709,418

Finding the Third Proportional to 459,824 and 709,418

Calculator

Solution

The third proportional to 459,824 and 709,418 is: 1,094,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,824 : 709,418 = 709,418 : x
  2. Step 2: Convert to fraction form
    459,824/709,418 = 709,418/x
  3. Step 3: Cross multiply
    459,824x = 709,418 × 709,418
  4. Step 4: Simplify right side
    459,824x = 503,273,898,724
  5. Step 5: Solve for x
    x = 503,273,898,724/459,824
  6. Step 6: Final answer
    x = 1,094,492.46

Related Problems

Find third proportional to 229,912 and 354,709
Half scale
Find third proportional to 919,648 and 1,418,836
Double scale
Find third proportional to 459,826 and 709,421
Similar ratio
Find third proportional to 689,736 and 1,064,127
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.