Home / 144,000-314,203

Finding the Third Proportional to 144,000 and 314,203

Calculator

Solution

The third proportional to 144,000 and 314,203 is: 685,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,000 : 314,203 = 314,203 : x
  2. Step 2: Convert to fraction form
    144,000/314,203 = 314,203/x
  3. Step 3: Cross multiply
    144,000x = 314,203 × 314,203
  4. Step 4: Simplify right side
    144,000x = 98,723,525,209
  5. Step 5: Solve for x
    x = 98,723,525,209/144,000
  6. Step 6: Final answer
    x = 685,580.04

Related Problems

Find third proportional to 72,000 and 157,101.50
Half scale
Find third proportional to 288,000 and 628,406
Double scale
Find third proportional to 144,002 and 314,207
Similar ratio
Find third proportional to 216,000 and 471,304.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.