Home / 285,911-419,317

Finding the Third Proportional to 285,911 and 419,317

Calculator

Solution

The third proportional to 285,911 and 419,317 is: 614,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,911 : 419,317 = 419,317 : x
  2. Step 2: Convert to fraction form
    285,911/419,317 = 419,317/x
  3. Step 3: Cross multiply
    285,911x = 419,317 × 419,317
  4. Step 4: Simplify right side
    285,911x = 175,826,746,489
  5. Step 5: Solve for x
    x = 175,826,746,489/285,911
  6. Step 6: Final answer
    x = 614,970.21

Related Problems

Find third proportional to 142,955.50 and 209,658.50
Half scale
Find third proportional to 571,822 and 838,634
Double scale
Find third proportional to 285,913 and 419,320
Similar ratio
Find third proportional to 428,866.50 and 628,975.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.