Home / 305,394-461,439

Finding the Third Proportional to 305,394 and 461,439

Calculator

Solution

The third proportional to 305,394 and 461,439 is: 697,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,394 : 461,439 = 461,439 : x
  2. Step 2: Convert to fraction form
    305,394/461,439 = 461,439/x
  3. Step 3: Cross multiply
    305,394x = 461,439 × 461,439
  4. Step 4: Simplify right side
    305,394x = 212,925,950,721
  5. Step 5: Solve for x
    x = 212,925,950,721/305,394
  6. Step 6: Final answer
    x = 697,217.20

Related Problems

Find third proportional to 152,697 and 230,719.50
Half scale
Find third proportional to 610,788 and 922,878
Double scale
Find third proportional to 305,396 and 461,442
Similar ratio
Find third proportional to 458,091 and 692,158.50
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.