Home / 51,476-77,214

Finding the Third Proportional to 51,476 and 77,214

Calculator

Solution

The third proportional to 51,476 and 77,214 is: 115,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476 : 77,214 = 77,214 : x
  2. Step 2: Convert to fraction form
    51,476/77,214 = 77,214/x
  3. Step 3: Cross multiply
    51,476x = 77,214 × 77,214
  4. Step 4: Simplify right side
    51,476x = 5,962,001,796
  5. Step 5: Solve for x
    x = 5,962,001,796/51,476
  6. Step 6: Final answer
    x = 115,821

Related Problems

Find third proportional to 25,738 and 38,607
Half scale
Find third proportional to 102,952 and 154,428
Double scale
Find third proportional to 51,478 and 77,217
Similar ratio
Find third proportional to 77,214 and 115,821
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.