Home / 311,940-465,830

Finding the Third Proportional to 311,940 and 465,830

Calculator

Solution

The third proportional to 311,940 and 465,830 is: 695,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,940 : 465,830 = 465,830 : x
  2. Step 2: Convert to fraction form
    311,940/465,830 = 465,830/x
  3. Step 3: Cross multiply
    311,940x = 465,830 × 465,830
  4. Step 4: Simplify right side
    311,940x = 216,997,588,900
  5. Step 5: Solve for x
    x = 216,997,588,900/311,940
  6. Step 6: Final answer
    x = 695,638.87

Related Problems

Find third proportional to 155,970 and 232,915
Half scale
Find third proportional to 623,880 and 931,660
Double scale
Find third proportional to 311,942 and 465,833
Similar ratio
Find third proportional to 467,910 and 698,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.