Home / 298,993-463,434

Finding the Third Proportional to 298,993 and 463,434

Calculator

Solution

The third proportional to 298,993 and 463,434 is: 718,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,993 : 463,434 = 463,434 : x
  2. Step 2: Convert to fraction form
    298,993/463,434 = 463,434/x
  3. Step 3: Cross multiply
    298,993x = 463,434 × 463,434
  4. Step 4: Simplify right side
    298,993x = 214,771,072,356
  5. Step 5: Solve for x
    x = 214,771,072,356/298,993
  6. Step 6: Final answer
    x = 718,314.72

Related Problems

Find third proportional to 149,496.50 and 231,717
Half scale
Find third proportional to 597,986 and 926,868
Double scale
Find third proportional to 298,995 and 463,437
Similar ratio
Find third proportional to 448,489.50 and 695,151
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.