Home / 308,801-463,944

Finding the Third Proportional to 308,801 and 463,944

Calculator

Solution

The third proportional to 308,801 and 463,944 is: 697,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,801 : 463,944 = 463,944 : x
  2. Step 2: Convert to fraction form
    308,801/463,944 = 463,944/x
  3. Step 3: Cross multiply
    308,801x = 463,944 × 463,944
  4. Step 4: Simplify right side
    308,801x = 215,244,035,136
  5. Step 5: Solve for x
    x = 215,244,035,136/308,801
  6. Step 6: Final answer
    x = 697,031.54

Related Problems

Find third proportional to 154,400.50 and 231,972
Half scale
Find third proportional to 617,602 and 927,888
Double scale
Find third proportional to 308,803 and 463,947
Similar ratio
Find third proportional to 463,201.50 and 695,916
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.