Home / 103,698-217,839

Finding the Third Proportional to 103,698 and 217,839

Calculator

Solution

The third proportional to 103,698 and 217,839 is: 457,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 217,839 = 217,839 : x
  2. Step 2: Convert to fraction form
    103,698/217,839 = 217,839/x
  3. Step 3: Cross multiply
    103,698x = 217,839 × 217,839
  4. Step 4: Simplify right side
    103,698x = 47,453,829,921
  5. Step 5: Solve for x
    x = 47,453,829,921/103,698
  6. Step 6: Final answer
    x = 457,615.67

Related Problems

Find third proportional to 51,849 and 108,919.50
Half scale
Find third proportional to 207,396 and 435,678
Double scale
Find third proportional to 103,700 and 217,843
Similar ratio
Find third proportional to 155,547 and 326,758.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.