Home / 209,277-313,098

Finding the Third Proportional to 209,277 and 313,098

Calculator

Solution

The third proportional to 209,277 and 313,098 is: 468,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,277 : 313,098 = 313,098 : x
  2. Step 2: Convert to fraction form
    209,277/313,098 = 313,098/x
  3. Step 3: Cross multiply
    209,277x = 313,098 × 313,098
  4. Step 4: Simplify right side
    209,277x = 98,030,357,604
  5. Step 5: Solve for x
    x = 98,030,357,604/209,277
  6. Step 6: Final answer
    x = 468,423.94

Related Problems

Find third proportional to 104,638.50 and 156,549
Half scale
Find third proportional to 418,554 and 626,196
Double scale
Find third proportional to 209,279 and 313,101
Similar ratio
Find third proportional to 313,915.50 and 469,647
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.