Home / 51,516-78,354

Finding the Third Proportional to 51,516 and 78,354

Calculator

Solution

The third proportional to 51,516 and 78,354 is: 119,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 78,354 = 78,354 : x
  2. Step 2: Convert to fraction form
    51,516/78,354 = 78,354/x
  3. Step 3: Cross multiply
    51,516x = 78,354 × 78,354
  4. Step 4: Simplify right side
    51,516x = 6,139,349,316
  5. Step 5: Solve for x
    x = 6,139,349,316/51,516
  6. Step 6: Final answer
    x = 119,173.64

Related Problems

Find third proportional to 25,758 and 39,177
Half scale
Find third proportional to 103,032 and 156,708
Double scale
Find third proportional to 51,518 and 78,357
Similar ratio
Find third proportional to 77,274 and 117,531
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.