Home / 311,566-466,820

Finding the Third Proportional to 311,566 and 466,820

Calculator

Solution

The third proportional to 311,566 and 466,820 is: 699,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,566 : 466,820 = 466,820 : x
  2. Step 2: Convert to fraction form
    311,566/466,820 = 466,820/x
  3. Step 3: Cross multiply
    311,566x = 466,820 × 466,820
  4. Step 4: Simplify right side
    311,566x = 217,920,912,400
  5. Step 5: Solve for x
    x = 217,920,912,400/311,566
  6. Step 6: Final answer
    x = 699,437.40

Related Problems

Find third proportional to 155,783 and 233,410
Half scale
Find third proportional to 623,132 and 933,640
Double scale
Find third proportional to 311,568 and 466,823
Similar ratio
Find third proportional to 467,349 and 700,230
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.