Home / 311,918-470,092

Finding the Third Proportional to 311,918 and 470,092

Calculator

Solution

The third proportional to 311,918 and 470,092 is: 708,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,918 : 470,092 = 470,092 : x
  2. Step 2: Convert to fraction form
    311,918/470,092 = 470,092/x
  3. Step 3: Cross multiply
    311,918x = 470,092 × 470,092
  4. Step 4: Simplify right side
    311,918x = 220,986,488,464
  5. Step 5: Solve for x
    x = 220,986,488,464/311,918
  6. Step 6: Final answer
    x = 708,476.23

Related Problems

Find third proportional to 155,959 and 235,046
Half scale
Find third proportional to 623,836 and 940,184
Double scale
Find third proportional to 311,920 and 470,095
Similar ratio
Find third proportional to 467,877 and 705,138
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.