Home / 311,828-470,564

Finding the Third Proportional to 311,828 and 470,564

Calculator

Solution

The third proportional to 311,828 and 470,564 is: 710,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,828 : 470,564 = 470,564 : x
  2. Step 2: Convert to fraction form
    311,828/470,564 = 470,564/x
  3. Step 3: Cross multiply
    311,828x = 470,564 × 470,564
  4. Step 4: Simplify right side
    311,828x = 221,430,478,096
  5. Step 5: Solve for x
    x = 221,430,478,096/311,828
  6. Step 6: Final answer
    x = 710,104.54

Related Problems

Find third proportional to 155,914 and 235,282
Half scale
Find third proportional to 623,656 and 941,128
Double scale
Find third proportional to 311,830 and 470,567
Similar ratio
Find third proportional to 467,742 and 705,846
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.