Home / 311,877-469,570

Finding the Third Proportional to 311,877 and 469,570

Calculator

Solution

The third proportional to 311,877 and 469,570 is: 706,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877 : 469,570 = 469,570 : x
  2. Step 2: Convert to fraction form
    311,877/469,570 = 469,570/x
  3. Step 3: Cross multiply
    311,877x = 469,570 × 469,570
  4. Step 4: Simplify right side
    311,877x = 220,495,984,900
  5. Step 5: Solve for x
    x = 220,495,984,900/311,877
  6. Step 6: Final answer
    x = 706,996.62

Related Problems

Find third proportional to 155,938.50 and 234,785
Half scale
Find third proportional to 623,754 and 939,140
Double scale
Find third proportional to 311,879 and 469,573
Similar ratio
Find third proportional to 467,815.50 and 704,355
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.