Home / 305,396-461,442

Finding the Third Proportional to 305,396 and 461,442

Calculator

Solution

The third proportional to 305,396 and 461,442 is: 697,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,396 : 461,442 = 461,442 : x
  2. Step 2: Convert to fraction form
    305,396/461,442 = 461,442/x
  3. Step 3: Cross multiply
    305,396x = 461,442 × 461,442
  4. Step 4: Simplify right side
    305,396x = 212,928,719,364
  5. Step 5: Solve for x
    x = 212,928,719,364/305,396
  6. Step 6: Final answer
    x = 697,221.70

Related Problems

Find third proportional to 152,698 and 230,721
Half scale
Find third proportional to 610,792 and 922,884
Double scale
Find third proportional to 305,398 and 461,445
Similar ratio
Find third proportional to 458,094 and 692,163
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.