Home / 311,984-473,806

Finding the Third Proportional to 311,984 and 473,806

Calculator

Solution

The third proportional to 311,984 and 473,806 is: 719,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,984 : 473,806 = 473,806 : x
  2. Step 2: Convert to fraction form
    311,984/473,806 = 473,806/x
  3. Step 3: Cross multiply
    311,984x = 473,806 × 473,806
  4. Step 4: Simplify right side
    311,984x = 224,492,125,636
  5. Step 5: Solve for x
    x = 224,492,125,636/311,984
  6. Step 6: Final answer
    x = 719,562.94

Related Problems

Find third proportional to 155,992 and 236,903
Half scale
Find third proportional to 623,968 and 947,612
Double scale
Find third proportional to 311,986 and 473,809
Similar ratio
Find third proportional to 467,976 and 710,709
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.