Home / 297,738-461,142

Finding the Third Proportional to 297,738 and 461,142

Calculator

Solution

The third proportional to 297,738 and 461,142 is: 714,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,738 : 461,142 = 461,142 : x
  2. Step 2: Convert to fraction form
    297,738/461,142 = 461,142/x
  3. Step 3: Cross multiply
    297,738x = 461,142 × 461,142
  4. Step 4: Simplify right side
    297,738x = 212,651,944,164
  5. Step 5: Solve for x
    x = 212,651,944,164/297,738
  6. Step 6: Final answer
    x = 714,225.07

Related Problems

Find third proportional to 148,869 and 230,571
Half scale
Find third proportional to 595,476 and 922,284
Double scale
Find third proportional to 297,740 and 461,145
Similar ratio
Find third proportional to 446,607 and 691,713
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.