Home / 51,604-77,206

Finding the Third Proportional to 51,604 and 77,206

Calculator

Solution

The third proportional to 51,604 and 77,206 is: 115,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,604 : 77,206 = 77,206 : x
  2. Step 2: Convert to fraction form
    51,604/77,206 = 77,206/x
  3. Step 3: Cross multiply
    51,604x = 77,206 × 77,206
  4. Step 4: Simplify right side
    51,604x = 5,960,766,436
  5. Step 5: Solve for x
    x = 5,960,766,436/51,604
  6. Step 6: Final answer
    x = 115,509.78

Related Problems

Find third proportional to 25,802 and 38,603
Half scale
Find third proportional to 103,208 and 154,412
Double scale
Find third proportional to 51,606 and 77,209
Similar ratio
Find third proportional to 77,406 and 115,809
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.