Home / 103,689-217,823

Finding the Third Proportional to 103,689 and 217,823

Calculator

Solution

The third proportional to 103,689 and 217,823 is: 457,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689 : 217,823 = 217,823 : x
  2. Step 2: Convert to fraction form
    103,689/217,823 = 217,823/x
  3. Step 3: Cross multiply
    103,689x = 217,823 × 217,823
  4. Step 4: Simplify right side
    103,689x = 47,446,859,329
  5. Step 5: Solve for x
    x = 47,446,859,329/103,689
  6. Step 6: Final answer
    x = 457,588.17

Related Problems

Find third proportional to 51,844.50 and 108,911.50
Half scale
Find third proportional to 207,378 and 435,646
Double scale
Find third proportional to 103,691 and 217,827
Similar ratio
Find third proportional to 155,533.50 and 326,734.50
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.